Signal Processing - Study Mode
[#281] Let x(t) be the input to a linear, time-invariant system. The required output is 4x(t - 2). The transfer function of the system should be
Correct Answer
(C) 4e -j4πf
[#282] Let y[n] denote the convolution of h[n] and g[n], where h[n] = $${left( {frac{1}{2}}
ight)^n}$$ u[n] and g[n] is a causal sequence. If y[0] = 1 and y[1] = $$frac{1}{2},$$ then g[1] equals
Correct Answer
(A) 0
[#283] The trigonometric Fourier series of an even function of time does not have
Correct Answer
(C) Sine terms
(G) sine terms
[#284] The pole-zero diagram of a causal and stable discrete-time system is shown in the figure. The zero at the origin has multiplicity 4. The impulse response of the system is h[n]. If h[0] = 1, we can conclude
Correct Answer
(A) h[n] is real for all n
[#285] Letx(t) be the input and y(t) be the output of a continuous time system. Match the system properties P 1 , P 2 and P 3 with system relations R 1 , R 2 , P 3 , P 4 . Properties P 1 : Linear but NOT time-invariant P 2 : Time-invariant but NOT linear P 3 : Linear and time-invariant Relations R 1 : y(t) = t 2 x(t) R 2 : y(t) = t |x(t)| R 3 : y(t) = |x(t)| R 4 : y(t) = x(t - 5)
Correct Answer
(B) (P 1 , R 2 ), (P 2 , P 3 ), (P 3 , R 4 )