a. If h_{1}[n] and h_{2}[n], the impulse responses of two LTID systems are related by h_{2}[n] = (−1)^{n}h_{1},[n], then show that

How are the frequency response spectrum H_{2}[e^{jΩ}] related to the H_{1}[e^{jΩ}].

b. If H_{1} [z] represents an ideal low pass filter with cutoff frequency Ω_{c}, sketch H_{2}[e^{jΩ}]. What type of filter is H_{2}[e^{jΩ}]?