Design Filters with Given Specifications:

Task a: Design a first$-$order high$-$pass IIR Chebyshev filter with a cut$-$off of $0\mathrm{.}5$ kHz and $2$ dB ripple, sampling rate of $2000$ Hz$.$

Task b: Design a second$-$order digital band$-$stop IIR filter.

Upper cut$-$off: $2$ kHzLower cut$-$off: $1$ kHzSampling frequency: $6$ kHz