Question .1: The input/output relation of a discrete time system is given by y(n) = x(n+1) + x(n-3). Find an expression for h(n), the unit sample response of this system. specify how many non-zero terms there are in h(n). Stated another way, for how many values of n does h(n) have a non-zero value ?
Question .2: The input/output relation of a discrete time system is given by y(n) = x(n+1) + x(n-3). What is the largest value of n for which the unit sample response is non-zero?
Question .3: The input/output relation of a discrete time system is given by y(n) = x(n+1) + x(n-3). What is the smallest value of n for which the unit sample response is non-zero?
Question .4: The input/output relation of a discrete time system is given by y(n) = x(n+1) + x(n-3). Is this system causal?
Question .5: The input/output relation of a discrete time system is given by y(n) = x(n+1) + x(n-3). Develop an expression for the magnitude of the frequency response of this system.
Question .6: The input/output relation of a discrete time system is given by y(n) = x(n+1) + x(n-3). Develop an expression for the phase of the frequency response of this system.
Question .7: A linear shift-invariant system has the input/output relation given by y(n) = x(n-1) - .5 y(n-1).
a. Is this system stable?
b. Is this system causal?
c. Is this system FIR or IIR?
Question .8: The input/output relation of linear shift-invariant system is given by y(n) = x(n-1) - .5y(n-1). Develop an expression for the magnitude of the frequency response for this sysfem.
Question .9: The input/output relation of linear shift-invariant system is given by y(n) = x(n-1) - .5y(n-1) Develop an expression for the phase of the frequency response of this system.