Explore BrainMass

Explore BrainMass

    Solve: Communications Systems

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A discrete time system is described by the following transfer function:
    H(z) = 1 + 2z^(-1)/(1-(1/2z^(-2)))

    a) Give a block diagram to implement the system using delay elements, multipliers, and adders. Use the smallest possible number of delay elements (all of the same delay).

    b) Find the impulse response of the system.

    c) Give a different equation, in terms of the input and output, to describe the system.

    d) Is the system stable?

    © BrainMass Inc. brainmass.com December 24, 2021, 5:03 pm ad1c9bdddf

    Solution Preview

    H(Z) = [1+2z(^-1)]/[1-(1/2)z^(-2)]

    1. See the attached file for the block diagram

    2. Impulse response:
    h(z) = [1+2z^(-1)]/[1-(1/2)z^(-2)]
    Multiply both numerator and denominator by z^2 h(z) = [z^2+2z]/[z^2 -(1/2)
    = z(z+2)/[{z+(1/2^0.5)}*{z-(1/2^0.5)}]
    Now we need to get h(n), the impulse response.
    We need the inverse z-transform ...

    Solution Summary

    This response provides step-by-step calculations to solve each of the questions, as well as an attached .bmp file with a block diagram.