(DSP(digital signal proccess)) (solve with all steps and skietch the signal in part (a))
a) A digital signal
x(n)
is defined as 7)]. Calculate the signal
y(n)=a(-2n+3)
by direct method, represent the signal in sequence form and sketch the signal.
b) A discrete LTI system has an unit sample response of
h(n)=5((1)/(2))^(n)u(n)-4((1)/(3))^(n-1)u(n)
and the input to the system is
x(n)={(0.5,n>=0),(0 else ):}
.
Determine the output response
y(n)
of the system using convolution sum.