An analog reconstruction system is comprised of a zero-order hold (ZOH) and a post-filter circuit in...

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An analog reconstruction system is comprised of a zero-order hold (ZOH) and a post-filter circuit in cascade. This system is specified as follows. • Sampling rate 20 kHz Maximum allowable gain variation from 0 to 5 kHz = 2 dB 40 dB rejection at the frequency of 18 kHz • • Butterworth lowpass filter assumed Determine the cutoff frequency and the order for the anti-image filter. NOTE: ZOH spectrum is given by GSH (F) = n(FT)e-iFTs Make sure you use normalized gain value in your calculations. x, (n) Decoder Interpolator Post- Filter 101001... Digital Signal Quantized Signal Continous-Time Discrete Valued Signal Analog Signal An analog reconstruction system is comprised of a zero-order hold (ZOH) and a post-filter circuit in cascade. This system is specified as follows. • Sampling rate 20 kHz Maximum allowable gain variation from 0 to 5 kHz = 2 dB 40 dB rejection at the frequency of 18 kHz • • Butterworth lowpass filter assumed Determine the cutoff frequency and the order for the anti-image filter. NOTE: ZOH spectrum is given by GSH (F) = n(FT)e-iFTs Make sure you use normalized gain value in your calculations. x, (n) Decoder Interpolator Post- Filter 101001... Digital Signal Quantized Signal Continous-Time Discrete Valued Signal Analog Signal