[1 for 0≤ ≤0.5 and 0≤|w₂|≤0.5 Let H₁ (@,,@₂) = { 0 otherwise Find the h(n,,n,) (its inverse Fourier Transform)

Q: . Consider an impulse response h[n] such that h[n] = 0 for n M, and h[n] =−h[M − n] for 0 ≤ n ≤ M…

A:

Q: Show that if a, b, c, and mare integers such that m≥2, c > 0, and a≡b (mod m), then ac ≡bc (mod mc).

A: According to the question, we have to prove that ac ≡ bc (mod mc). And we have given that a, b, c,…

Q: F(A, B, C, D) = Σm(0, 1, 2, 3, 9, 10, 13, 14) G(A, B, C, D) = Σm(0, 1, 8, 9, 10, 12, 13, 14) H = AD′…

A: Here, the task specified in the question is to encode the functions; F, G and H using the given PLA…

Q: evaluate nCxpxqn-x for the values of n, x, and p given in Problem A) n= 4, x= 2, p=1/2

A: P(X = x) = nCx pxq(n-x) where q = 1 - p Given n= 4, x= 2, p=1/2 So q=1-1/2=1/2

Q: Determine the z-transform, including the ROC, of the following sequence: n, 0≤n≤N-1, N, N≤n. x[n] =

A: The given sequence,  x[n] = n, 0≤n≤N-1N, N≤n

Q: 2. (a) Enter 1s in the Karnaugh map for the Boolean function 8(w,x, y, z) = wxy + xgz + w9z + x9z +…

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Q: Show that a q-ary (q + 1, M, 3)-code satisfies M <q9-1

A: