Selection of Quantization Step Size in Accordance With Predicted Quantization Noise

The present invention relates to image compression, and, more particularly, is directed to quantizing image data in accordance with a prediction of the noise introduced by the quantization.

The Moving Picture Experts Group system (MPEG 1, MPEG 2) has been proposed as an international standard for high efficiency encoding and decoding of a moving picture. Three types of pictures are defined in the MPEG system, an I picture which is encoded in a standalone manner, a P picture which is encoded by forward prediction from one reference picture which may be an I picture or a P picture, and a B picture which is bidirectionally encoded by forward and backward prediction from two reference pictures. A typical sequence of encoded pictures, in temporal order, may be I B B P B B P B B I B B . . . .

A picture is divided into macro blocks. An I picture comprises intra-macro blocks. P and B pictures respectively comprise non-intra macro blocks.

FIG. 1 shows a conventional video encoder according to the MPEG system. Blocks of data representing an I picture are applied to input terminal 100 and thence to subtractor 107. Since an I picture is not predicted from a reference picture, subtractor 107 simply forwards the I picture data blocks to DCT circuit 101 which orthogonally transforms the picture data blocks to coefficient data blocks, and supplies the blocks of coefficient data to quantizer 102.

Quantizer 102 quantizes the I picture coefficient data using a quantization step size selected by quantization control circuit 102. The quantization step size may also be referred to as a quantization scale. The quantized coefficient data are variable length encoded by VLC circuit 103, such as with a two dimensional Huffman code, and supplied to buffer 110. Buffer occupancy detecting circuit 117 monitors the percentage of buffer capacity used by the encoded data and supplies buffer occupancy information to the quantization control circuit 108, which selects a quantization-step size so that the amount of encoded data in the buffer 110 remains within its capacity, i.e., does not overflow. The encoded data is delivered to output terminal 114 for transmission or recording.

The quantized coefficient data are also supplied to inverse quantizing circuit 109, which dequantizes the quantized data to produce reconstructed coefficient data. Inverse DCT circuit 111 inverse orthogonally transforms the reconstructed coefficient data to produce reconstructed image data blocks and supplies the image data blocks to frame memory 105 for storage therein as a locally decoded reference picture.

Subsequently, blocks of data representing either a B picture or a P picture are applied to terminal 100 and thence to motion detecting circuit 104 which detects motion within the supplied data blocks and produces motion vectors between the input B or P picture blocks and the stored reference picture blocks. The motion vectors are supplied to motion compensating circuit 113. The reference picture stored in frame memory 105 is motion compensated, that is, modified using the motion vectors by the circuit 113, to produce predicted picture data which is applied to subtractor 107 and adder 112. Subtractor 107 subtracts the predicted picture data from the input picture data to produce difference data which is orthogonally transformed, quantized and variable length coded, as generally described above. The quantized input picture data are also supplied to inverse quantizing circuit 109 and inverse DCT circuit 111 to produce reconstructed difference data which are added to the image data of the motion compensated reference picture by adder 112. The result is stored in frame memory 105 as a new reference picture.

In the encoder of FIG. 1, in order to generate data from the buffer 110 at a predetermined rate, it is necessary to limit the amount of encoded data per predetermined period of time to a predetermined amount. The process of limiting operates so that when the amount of encoded data in the buffer 110 is large, the quantization step size is selected to be coarse, and when the amount of encoded data in the buffer 110 is small, the quantization step size is selected to be fine.

Increasing the quantization step size to be coarse decreases the amount of encoded data, and also degrades the quality of the reconstructed picture. For images having a lot of information, degradation in quality is a serious problem.

Decreasing the quantization step size to be fine increases the amount of encoded data, and also reduces degradation in the quality of the reconstructed picture. For images having little information, degradation in quality is not such a serious problem, and reduction in the amount of encoded data is desirable.

Thus, it is seen that to select the optimum quantization step size, it is necessary to consider picture quality as well as buffer occupancy.

Therefore, an object of the present invention is to provide an encoding apparatus and method which avoid the aforementioned disadvantages of the prior art.

It is another object of the present invention, to provide an encoding apparatus and method in which a quantization step size is set in consideration of picture quality.

A further object of the invention is to provide a quantization step size control method and apparatus which select a quantization step size in accordance with noise introduced by the quantization.

In accordance with an aspect of this invention, the foregoing objects are met by provision of a method of and a system for quantization control which estimates a quantization noise curve relating quantization noise to quantization step size for a block of image data, and selects an actual quantization step size in accordance with the estimated quantization noise curve.

According to a further aspect of the invention, the step of and means for estimating includes predicting a saturation noise value, predicting a saturation quantization step size corresponding to the saturated noise value, and predicting the estimated quantization noise curve in accordance with the saturation noise value and the saturation quantization step size.

It is not intended that the invention be summarized here in its entirety. Rather, further features, aspects and advantages of the invention are set forth in or are apparent from the following description and drawings.

FIG. 1 is a block diagram of a conventional video image encoder;

FIGS. 2 and 3 are block diagrams of video image encoders according to the present invention;

FIG. 4 is a block diagram of a noise estimating circuit according to the present invention;

FIG. 5 is a block diagram of a quantization step size control circuit according to the present invention;

FIGS. 6 and 7 are quantization tables used in quantizing intra-macro blocks and non-intra macro blocks, respectively;

FIGS. 8A and 8B are graphs illustrating unsaturated quantization noise;

FIGS. 9A and 9B are graphs illustrating saturated quantization noise;

FIGS. 10A-10C are graphs to which reference is made in explaining prediction of a quantization noise curve for unsaturated quantization noise;

FIGS. 11A-11C are graphs to which reference is made in explaining prediction of a quantization noise curve for saturated quantization noise; and

FIGS. 12A-12D are graphs to which reference is made in explaining selection of a quantization step size with respect to the predicted quantization noise curve and a specified SNR.

In an encoder according to the present invention, a quantization noise curve which will result from quantizing a coefficient data block is estimated and used, along with a specified minimum noise value, to select the quantization step size actually used to quantize the coefficient data block. Consequently, since image quality is incorporated in the selection of the quantization step size, reconstructed pictures have better image quality.

Encoders according to the present invention and in accordance with the MPEG 2 system will now be described. It will be appreciated that encoders in accordance with other systems are also contemplated.

Referring now to the drawings, and in particular to FIG. 2, there is illustrated an encoder according to the present invention. The apparatus illustrated in FIG. 2 is similar to the apparatus illustrated in FIG. 1, but also includes noise estimating circuit 15. For brevity, descriptions of elements of FIG. 2 corresponding to elements of FIG. 1 are omitted.

The estimating circuit 15 of FIG. 2 is adapted to receive a block of coefficient data from DCT circuit 1, to estimate the noise at various quantization step sizes, as described below, and to supply a predicted noise curve to quantization control circuit 8. In other embodiments, instead of estimating quantization noise from coefficient data, a quantization noise estimate may be generated directly from the input image data.

The quantization control circuit 8 functions to select a quantization step size on the basis of the predicted noise curve and the occupancy of buffer 10. The buffer occupancy is fed back to the quantization control circuit 8 by buffer occupancy detecting circuit 17.

FIG. 3 illustrates another embodiment of an encoder according to the present invention. In the encoder of FIG. 3, instead of feeding back the actual buffer occupancy, buffer occupancy estimating circuit 17A functions to predict the buffer occupancy from the input image data, and to feed forward the predicted buffer occupancy to the quantization control circuit 8.

FIG. 4 shows a block diagram of the noise estimating circuit 15. Generally, a coefficient block is supplied to a saturation noise estimating circuit and to a saturation quantization step size estimating circuit. The function of these estimating circuits is discussed below. A noise characteristic estimating circuit uses the estimated saturation noise and estimated saturation quantization step size to produce a predicted noise curve. The actual noise detecting circuit may be realized in hardware or in software.

FIGS. 6 and 7 show quantization matrices used in the MPEG encoder of FIG. 2 for intra-macro block and non-intra-macro block coefficients, respectively. The matrix of FIG. 6 is referred to as wI(i,j), and the matrix of FIG. 7 is referred to as wN(i,J).

Noise introduced by quantization of coefficient blocks will now be discussed.

The following mathematical symbol conventions are used herein:

Quantization of a coefficient comprises division by quantization step size and rounding of the result to an integer, and is described by the following equation:

where COEF is an unquantized coefficient, QS is a quantization step size and Q.sub.-- COEF is a quantized coefficient.

Inverse quantization, or dequantization, comprises multiplying a quantized coefficient by a quantization step size, and is described by the following equation:

where COEF.sub.-- RECON is a reconstructed coefficient.

The noise introduced by quantization is the difference between the unquantized coefficient COEF and the reconstructed coefficient COEF.sub.-- RECON,

When the unquantized coefficient COEF is greater than or equal to half of the quantization step size QS/2, COEF.gtoreq.QS/2, the quantization noise Q.sub.-- NOISE comprises equiprobable values in the range 0 to QS/2. The mean value of the quantization noise is, therefore, QS/4. Thus, for suitably large coefficients, the average noise is a function of the quantization step size QS.

When the unquantized coefficient COEF is less than half of the quantization step size QS/2, COEF<QS/2, the quantized coefficient Q.sub.-- COEF is always zero. Therefore, the reconstructed coefficient COEF.sub.-- RECON is also zero, and the quantization noise Q.sub.-- NOISE is equal to the unquantized coefficient COEF, Q.sub.-- NOISE=.vertline.0-COEF.vertline.=COEF.

The quantization noise is referred to herein as "saturated" when the quantization step size satisfies COEF<QS/2.

Generally, the quantization noise increases with an increase in the quantization step size. However, when the unquantized coefficient is a multiple of the quantization step size, the quantization noise becomes zero for that quantization step size. For example, the following table shows an example of the quantization noise as a function of an increasing quantization step size.

The root mean square noise NRMS for a block of coefficients is fundamentally proportional to the quantization step size, until the quantization noise saturates at COEF<QS/2. When the quantization noise is saturated for all coefficients in a block, NRMS is set to a constant value.

FIGS. 8A and 9A show relationships between the quantization step size QS (abscissa) and the root mean square noise for a coefficient block NRMS (ordinate). Assuming a maximum quantization step size QS.sub.-- MAX, FIG. 8A shows the case where saturation of NRMS does not occur for a quantization step size up to the maximum quantization step size, QS.ltoreq.QS.sub.-- MAX. The possible range of NRMS is the shaded portion of FIG. 8A. However, almost all of the values of NRMS are located on the curve shown in FIG. 8B. Generally, FIG. 8B shows the case where when the quantization scale QS is increased, NRMS increases almost proportionally thereto. The quantization scale reaches its maximum value at or before saturation of NRMS.

FIG. 9A shows the case where saturation of NRMS occurs before the quantization step size QS reaches the maximum quantization step size QS.sub.-- MAX. The possible range of NRMS is the shaded portion of FIG. 9A. However, almost all of the values of NRMS are located on the curve shown in FIG. 9B. Generally, FIG. 9B shows the case where as the quantization scale QS is increased, NRMS saturates before the quantization scale QS reaches its maximum value.

The minimum value of the quantization step size at which saturation of NRMS occurs is referred to herein as the saturation quantization step size.

In MPEG 2, the maximum value of the quantization step size QS.sub.-- MAX is 31.

Although MPEG 2 provides for a linear quantization scale and a nonlinear quantization scale, only the case of a linear quantization scale will be discussed.

In MPEG 2, the DC coefficient of an intra-macro block (I picture) is quantized with one of four step sizes (8, 4, 2, 1) in accordance with a required accuracy as follows: ##EQU1## where dc is an unquantized intra-macro block DC coefficient, Q.sub.-- dc is one of the four quantization step sizes discussed above and QDC is a quantized intra-macro block DC coefficient.

In MPEG 2, the AC coefficients of an intra-macro block are quantized with respective quantization step sizes shown in the quantization step size matrix wI(i,j) of FIG. 6 as follows: ##EQU2## where ac(i,j) denotes the unquantized intra-macro block AC coefficients and q.sub.-- ac(i,j) denotes intermediate quantized intra-macro block AC coefficients.

The intermediate intra-macro block AC coefficients q.sub.-- ac(i,j) are limited to a value within a range from -2048 to 2047, and are further quantized by the quantization step size QS obtained for each macro block as follows: ##EQU3## where QAC(i,j) denotes the quantized intra-macro block AC coefficients. In accordance with the value of an MPEG 2 parameter, tcoef-escape-flag, the coefficients QAC(i,J) are limited to a value within a range from -255 to 255 when tcoef-escape-flag is equal to 0 and to a value within a range from -2047 to 2047 when tcoef-escape-flag is equal to 1.

In MPEG 2, the DC and AC coefficients of a non-intra-macro block (P or B picture) are quantized by the same method using the quantization matrix wN(i,j) of FIG. 7. The quantization result QAC(i,j) is calculated according to the following equations: ##EQU4##

In the intra-macro block, the inverse quantization of the DC coefficient is obtained as follows: ##EQU5## where dct.sub.-- recon(0,0) is the reconstructed DC coefficient, also referred to as the dequantized DC coefficient.

In the intra-macro block, the inverse quantization of the AC coefficient is obtained as follows: ##EQU6## where dct-recon(i,j) denotes the reconstructed AC coefficients. When the sum which is calculated by the following equation is equal to an even number, the least significant bit (LSB) in the sign-magnitude representation in dct.sub.-- recon(7,7) is inverted: ##EQU7##

In the non-intra-macro block, the inverse quantization of the coefficients is obtained as follows: ##EQU8## When the sum which is calculated by the following equation is equal to an even number, the least significant bit (LSB) in the sign-magnitude representation in dct.sub.-- recon(7,7) is inverted: ##EQU9##

Prediction of quantization noise using the MPEG 2 Test Model 5 will now be discussed.

Let (a) be the saturation NRMS, (b) be the saturation quantization step size, and the maximum quantization step size QS.sub.-- MAX be 31.

FIG. 10A shows the case where NRMS not saturated until the quantization step size reaches its maximum, that is, (b)=QS.sub.-- MAX=31. Strictly speaking, even when the quantization step size reaches its maximum, saturation may not occur. However, for convenience, saturation is considered to occur at QS=QS.sub.-- MAX. FIG. 10B shows the curve on which NRMS is generally located. For simplicity, the NRMS curve is approximated as a straight line curve, as shown in FIG. 10C, which passes through the origin (QS=0, NRMS=0) and the point (QS=31, NRMS=(a)).

FIG. 11A shows the case where NRMS is completely saturated before the quantization step size reaches its maximum, that is, (b)<QS.sub.-- MAX. For a quantization step size QS in the range (b) to QS.sub.-- MAX, NRMS=(a). FIG. 11B shows the curve on which NRMS is generally located. For simplicity, the NRMS curve is approximated as a polygonal curve comprising a straight line curve which passes through the origin (QS=0, NRMS=0) and the point (QS=(b), NRMS=(a)), followed by a constant portion ((b)<Qs<=31, NRMS=(a)).

The approximations of FIG. 10C and 11C both include the point (QS=31, NRMS=(a)).

The quantization noise curve is estimated as follows.

First, the saturation quantization step size (b) is predicted. If (b)>QS.sub.-- MAX, then (b) is limited to QS.sub.-- MAX=31.

Next, the saturation NRMS (a) at QS=QS.sub.-- MAX is predicted.

In the range where QS<(b), the quantization noise curve is approximated by a straight line connecting the origin (QS=0, NRMS=0) and the point (Qs=(b), NRMS=(a)). If (b)=QS.sub.-- MAX, there is no need to continue.

If (b)<QS.sub.-- MAX, then in the range where QS>(b), the quantization noise curve is approximated by a constant (NRMS=(a)).

Thus, to approximate the quantization noise curve in MPEG 2, only the saturation NRMS (a) and the saturation quantization step size (b) are needed.

The signal to noise ratio (SNR) is defined as follows: ##EQU10##

A procedure for estimating the saturation NRMS (a) at the maximum quantization step size QS.sub.-- MAX will now be described. Generally, the procedure is to approximately calculate the portion of each coefficient in a block which will be lost (omitted) by quantization, to sum the lost portions in the block and to multiply the sum by a constant found from, for example, statistical observation of encoding sequences. The multiplied sum is the prediction of the saturation NRMS (a).

For an intra-macro block, quantization is approximated as follows, from equations (4) and (5): ##EQU11## The portion of each coefficient in an intra-macro block which will be lost by quantization when QS=QS.sub.-- MAX=31 is approximated as follows: ##EQU12## where dc=ac(0,0) and it is assumed that Q.sub.-- dc=8. During encoding, it is possible to accommodate Q.sub.-- dc selected from (4, 2, 1). The sum of the coefficient portions lost during quantization of an intra-macro block is defined as follows: ##EQU13## The multiplier constant should be obtained by statistics of the relationship between P1I and NRMS for a source image being encoded. For an MPEG test sequence, the intra-macro block constant is as follows: ##EQU14## For an intra-macro block, the saturation NRMS is predicted from (a)=cI.times.P1I.

For a non-intra-macro block, quantization is approximated as follows, from equations (6) and (7): ##EQU15## The portion of each coefficient in a non-intra-macro block which will be lost by quantization when QS=QS.sub.-- MAX=31 is approximated as follows: ##EQU16## The sum of the coefficient portions lost during quantization of a non-intra-macro block is defined as follows: ##EQU17## The multiplier constant should be obtained by statistics of the relationship between P1N and NRMS for a source image being encoded. For an MPEG test sequence, the non-intra-macro block constant is as follows: ##EQU18## For a non-intra-macro block, the saturation NRMS is predicted from (a)=cN.times.P1N.

A procedure for estimating the saturation quantization step size (b) will now be described. Generally, the procedure is to find the minimum quantization step size which results in the quantized AC coefficients for a block having values of zero, and to use this minimum quantization step size as the prediction of the saturation quantization step size.

For an intra-macro block AC coefficient ac(i,j), the minimum quantization step size MIN.sub.-- QSI(i,j) which results in the quantized AC coefficient QAC(i,j) having a value of zero is found from the following, based on equations (4) and (5): ##EQU19## The quantized coefficient QAC(i,j) will be zero when: ##EQU20## Rearranging terms, ##EQU21## The minimum integer quantization step size which satisfies equation (27) is ##EQU22## Similarly, the minimum integer quantization step size which satisfies equation (27) when ac(i,j)<0 is ##EQU23## When ac(i,j)=0, the quantization result is always equal to 0. However, since the possible quantization step size range is 1 to 31, the minimum integer quantization step size is 1, MIN0.sub.-- QSI(i,j)=1. Summarizing, the minimum quantization step size MIN.sub.-- QSI is found from ##EQU24## For all of the AC coefficients in an intra-macro block, the minimum quantization step size P2I at which all quantized AC coefficients in the block have a value of zero is ##EQU25## For an intra-macro block, the saturation quantization step size is predicted from (b)=P2I.

For a non-intra-macro block, in a manner similar to the intra-macro block, the above-described prediction procedure is applied to equations (6) and (7) to obtain the minimum quantization step size P2N at which all quantized coefficients in the block have a value of zero: ##EQU26## For a non-intra-macro block, the saturation quantization step size is predicted from (b)=P2N.

Operation of the noise estimating circuit 15 shown in FIG. 4 will now be described.

The noise estimating circuit 15 comprises input terminal 50, switch 54, saturation noise estimating circuits 51A, 51B, multipliers 52A, 52B, saturation quantization step size estimating circuits 53A, 53B, quantization noise curve predicting circuit 55 and output terminal 56.

Blocks of coefficient data are supplied from DCT circuit 1 of FIG. 2 to input terminal 50 of FIG. 4, which supplies the blocks to switch 54. Switch 54 is operative in accordance with a control signal (not shown) to supply intra-macro blocks to terminal 54A and to supply non-intra macro blocks to terminal 54B.

Saturation noise estimating circuit 51A and saturation quantization step size estimating circuit 53A are coupled to switch terminal 54A, and are adapted to receive intra-macro blocks therefrom. The circuits 51A, 53A are also adapted to receive the quantization matrix wI shown in FIG. 6.

The saturation noise estimating circuit 51A functions to calculate the value P1I as described above, and to supply the value P1I to multiplier 52A, which is adapted to multiply the value P1I by an intra-macro block constant cI, as described above, to produce a predicted saturation NRMS (a), and to supply the predicted value (a) to quantization noise curve predicting circuit 55.

The saturation quantization step size estimating circuit 53A functions to calculate the value P2I as described above, and to supply the value P2I as a predicted saturation quantization step size (b) to quantization noise curve predicting circuit 55.

Saturation noise estimating circuit 51B and saturation quantization step size estimating circuit 53B are coupled to switch terminal 54B, and are adapted to receive non-intra-macro blocks therefrom. The circuits 51B, 53B are also adapted to receive the quantization matrix wN shown in FIG. 7.

The saturation noise estimating circuit 51B functions to calculate the value P1N as described above, and to supply the value P1N to multiplier 52B, which is adapted to multiply the value P1N by an intra-macro block constant cN, as described above, to produce a predicted saturation NRMS (a), and to supply the predicted value (a) to quantization noise curve predicting circuit 55.

The saturation quantization step size estimating circuit 53B functions to calculate the value P2N as described above, and to supply the value P2N as a predicted saturation quantization step size (b) to quantization noise curve predicting circuit 55.

The quantization noise curve predicting circuit 55 functions to estimate a quantization noise curve in accordance with the procedure described above, and to supply the result to output terminal 56.

Operation of the quantization control circuit 8 shown in FIG. 5 will now be described.

The estimated quantization noise curve is supplied from the noise estimating circuit 15, shown in FIGS. 2 and 4, to input terminal 60 of the quantization control circuit 8 shown in FIG. 5 which supplies the estimated curve to first quantization step size circuit 66. A minimum NRMS value (A) is supplied to input terminal 62 and thence to first quantization step size circuit 66. The value (A) is obtained from a desired SNR and equation (15).

The first quantization step size circuit 66 uses the predicted noise curve and the specified minimum NRMS value (A) to generate a first quantization step size QS.sub.-- N and supplies the step size QS.sub.-- N to comparator 70.

Generation of the step size QS.sub.-- N will be explained with reference to FIGS. 12A-12D. First, the circuit 66 determines whether the minimum NRMS value (A) is less than the saturation NRMS value (a). If not, that is, (A).gtoreq.(a), as shown in FIGS. 12A and 12B, the step size QS.sub.-- N is set to QS.sub.-- MAX=31. Actually, in the case of FIG. 12B, the step size QS.sub.-- N may be selected anywhere in the range (b) to QS.sub.-- MAX.

When (A)<(a), then QS.sub.-- N is set to (A/a).times.(b). If (b)=QS.sub.-- MAX, as shown in FIG. 12C, then QS.sub.-- N is set to (A/a).times.QS.sub.-- MAX. If (b)<QS.sub.-- MAX, as shown in FIG. 12D, then QS.sub.-- N is set to (A/a).times.(b). In either of these cases, if rounding is required, QS.sub.-- N is rounded UP to the nearest integer.

A buffer occupancy value (B) is supplied from buffer occupancy detecting circuit 17 of FIG. 2 or from buffer occupancy estimating circuit 17A of FIG. 3 to input terminal 64 of the quantization control circuit 8 shown in FIG. 5. The buffer occupancy (B) may be, for example, simply the percent of buffer capacity occupied by encoded data awaiting transmission, that is, (B)=D/Y, where D is the amount of encoded data awaiting transmission and Y is the capacity of the buffer. The input terminal 64 supplies the buffer occupancy to second quantization step size circuit 68.

The second quantization step size circuit 68 uses the buffer occupancy (B) to generate a second quantization step size QS.sub.-- B and supplies the step size QS.sub.-- B to comparator 70. For example, the step size QS.sub.-- B may be the product of the buffer occupancy and the maximum quantization step size, QS.sub.-- B=(B).times.(QS.sub.-- MAX). Several methods are set forth in the MPEG Test Models for determining QS.sub.-- B.

Comparator 70 is operative to receive the first and second quantization step sizes QS.sub.-- N, QS.sub.-- B, to select the larger for use in actual quantization of a coefficient data block, and to supply the selected step size to output terminal 72.

Thus, the quantization control circuit 8 maximizes the value of the SNR of the video image and prevents the buffer memory from overflowing. Since the selected quantization step size is always at least QS.sub.-- B, an overflow never occurs.

When a coefficient block representing a lot of information is followed by a coefficient block representing little information, reconstructed image quality is improved by limiting a maximum value of the SNR of the block representing little information. Such limiting corresponds to allocating extra buffer space to the block representing a lot of information. That is, perceived image quality is thought to be improved more by reducing quantization noise in the block representing a lot of information than by reducing quantization noise in the block representing little information.

If encoding can be performed without considering the buffer occupancy, then QS.sub.-- N becomes the selected quantization step size, and the SNR of the image becomes generally constant.

According to the present invention, since the quantization noise can be estimated, the quantization step size can be selected together with the buffer occupancy in accordance with the SNR. That is, for example, the quantization can be performed to make the SNR substantially constant. In case of using the same code rate as in the prior art, therefore, a reconstructed picture is stable and a higher quality is obtained.

With the quantization noise estimating method according to the present invention, since the quantization noise can be estimated before the quantization is actually performed, the noise estimating circuit can be easily constructed and the optimum quantization step size can be easily selected.

Although illustrative embodiments of the present invention, and various modifications thereof, have been described in detail herein with reference to the accompanying drawings, it is to be understood that the invention is not limited to these precise embodiments and the described modifications, and that various changes and further modifications may be effected therein by one skilled in the art without departing from the scope or spirit of the invention as defined in the appended claims.