Electronics and Communication Engineering - Signals and Systems

26.
Laplace transform of eat cos (at) is
none of these
Answer: Option
Explanation:

£f(t) =

£-1F(s) = f(t)

£[a f1(t) + bf2(t)] = aF1(s) + bF2(s)

where

£[f(t - T)] = e-sT F(s)

£[e-at f(t)] = F(s + a)

Initial value theorem

Final value theroem

Convolution Integral

where t is dummy variable for t.


27.
The impulse response of discrete time system is x[n] = (4)n ∪[3 - n], the system is
casual
stable
stable and casual
stable and non-casual
Answer: Option
Explanation:

For stability

Hence it is stable and it depend upon future value for - ve n so it is non causal.


28.
The value of the in + ve sense is
jp/2
-p/2
-jp/2
p/2
Answer: Option
Explanation:

Apply Cauchy integral formula.


29.
The amplitude of the first odd harmonic of the square wave shown in the given figure is
Answer: Option
Explanation:

Fourier coefficient

.


30.
The inverse Laplace transform of is
t2 e-t
te-t
Answer: Option
Explanation:

.