hw8 - 6.003 Homework 8 Due at the beginning of recitation...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 6.003 Homework 8 Due at the beginning of recitation on Wednesday, November 4, 2009 . Problems 1. CT stability Consider the following feedback system in which the box represents a causal LTI CT system that is represented by its system function. + K s 2 + s 2 X Y a. Determine the range of K for which this feedback system is stable. b. Determine the range of K for which this feedback system has real-valued poles. 2. DT stability Consider the following feedback system in which the box represents a causal LTI DT system that is represented by its system function. + K z 2 + z 2 X Y a. Determine the range of K for which this feedback system is stable. b. Determine the range of K for which this feedback system has real-valued poles. 3. BIBO stability A signal is said to be bounded if its absolute value is less than some constant at all times. A system is said to be stable in the bounded-input/bounded-output sense if all bounded inputs to the system generate bounded output signals. a. Let h [ n ] represent the unit-sample response of a DT LTI system. Determine the bounded input signal x [ n ] ( | x [ n ] | < B ) that maximizes the output y [ n ] at n = 0. [Hint: look at the convolution sum.] b. Determine a rule based on h [ n ] to determine if a system is BIBO stable....
View Full Document

Page1 / 4

hw8 - 6.003 Homework 8 Due at the beginning of recitation...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online