Design a 10-Hz digital low-pass filter with a sampling rate of 1000 Hz. Make the gain at DC equal to 1, and the gain at 10 Hz equal to 0.707.
a) Show the pole-zero plot of your filter.
b) Show the H(z) transform.
c) Show the floating-point version of the digital filter.
d) Show the fixed-point version of the digital filter.