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Q4. The following digital filter is given 1 - 1.6z-1 +0.64z -2 H(2) 1 - 1.82-1 +0.812-2 The filter coefficients are quantized to 5 bits
Q4. The following digital filter is given 1 - 1.6z-1 +0.64z -2 H(2) 1 - 1.82-1 +0.812-2 The filter coefficients are quantized to 5 bits in fixed point where the binary representation is sign magnitude of the form, xxx.xx (bs ba b3 .b2 b), with the most significant bit being the sign. The fixed point numerical representation here is of the form b5 (sign bit), b4 x 2+ b3 x 2 + b2 x 2 + + b1 x 22 a) Write the quantized frequency response function. b) Plot the quantized frequency response function magnitude in dB and compare with the unquantized frequency response given above. Q4. The following digital filter is given 1 - 1.6z-1 +0.64z -2 H(2) 1 - 1.82-1 +0.812-2 The filter coefficients are quantized to 5 bits in fixed point where the binary representation is sign magnitude of the form, xxx.xx (bs ba b3 .b2 b), with the most significant bit being the sign. The fixed point numerical representation here is of the form b5 (sign bit), b4 x 2+ b3 x 2 + b2 x 2 + + b1 x 22 a) Write the quantized frequency response function. b) Plot the quantized frequency response function magnitude in dB and compare with the unquantized frequency response given above
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