Final: Thursday May 8, 9:45-11:45
 | Comprehensive, see quiz topics below |
| Plus: pole-zero filter design, simple FIR filter design (like HW 7) |
| You may bring 2 sheets of notes, 8.5x11 inches, both sides; NO Calculators. |
| Test format will be a combination of multiple choice and problems like quizzes. |
Quiz 6: Friday April 25. NO Calculators.
| Z transforms, inverse z transforms |
| Rational transfer functions and linear time-invariant signals, Using transfer functions to find the zero-state response of a system. |
| Pole-zero plots, relationship to spectrum and the transfer functions |
| Regions of convergence, stability and causality |
| Quiz 6 Solution q6apage1,q6apage2,q6bpage1,q6bpage2,q6cpage1,q6cpage2. |
Quiz 5: Mon. April 7. NO Calculators.
| Discrete Fourier Transforms and the fast Fourier Transform |
| Rational transfer functions and linear time-invariant signals, Using transfer functions to find the zero-state response of a system. |
| Sampling in the frequency domain |
| Simple Z transforms and regions of convergence |
| Quiz 5 Solution q5apage1,q5apage2,q5bpage1,q5bpage2,q5cpage1,q5cpage2. |
Quiz 4: Wed. March 12. NO Calculators.
| Discrete-time Fourier Transforms and properties |
| Discrete Fourier Transforms |
| Rational transfer functions and linear time-invariant signals |
| Using transfer functions to find the zero-state response of a system. |
| Quiz 4 Solution q4apage1, q4apage2, q4bpage1, q4bpage2, q4cpage1, q4cpage2. |
Quiz 3: Wednesday February 26. NO Calculators, convolution table provided.
| BIBO stability |
| Discrete-time convolution in the time domain |
| Discrete-time Fourier Series for periodic signals |
| Discrete-time Fourier Transforms and properties |
| Quiz 3 Solution q3apage1 q3apage2 q3bpage1 q3bpage2 q3cpage1 q3cpage2 |
Quiz 2: Monday February 10. NO Calculators, convolution table provided.
| Iterative solution of discrete-time difference equations |
| solving discrete-time equations (zero-input and zero-state solution) |
| discrete-time convolution (easy ones) |
| Showing linearity and time-invariance |
| Quiz 2 Solution q2apage1 q2apage2 q2bpage1 q2bpage2 q2cpage1 q2cpage2 |
Quiz 1: Monday January 27.
| period of discrete-time functions |
| sampling basics: Nyquist rate, what does a signal look like after sampling(aliasing) |
| Complex exponentials, phase-magnitude form |
| Calculating power and energy of a signal. |
| Quiz 1 Solution |
| Final Exam will be comprehensive, it will have 5-6 questions. Two of the questions will be very similar to the problems on tests 1 and 2. Final-version a, no solution ; |
| Solutions: p1,p2,p3,p4,p5 |
Exam 2 Topics:
| Using Z-transforms to solve an LTI equation with/without initial
conditions
| ||||
| Use Z-transform properties to find transfer function for a series/parallel system | ||||
| Estimate frequency spectrum using pole/zero form of Z-transform and plot poles and zeros in the complex z-plane | ||||
| Solutions (b version of exam): Problem 1, Problem 2, Problem 3, Problem 4 |
Topics for exam 1:
| Discrete time sequences and operations on the sequence | ||||
| Definitions of linearity, time-invariance, and causality | ||||
| Convolution and LTI systems, computing simple discrete time convolutions
| ||||
| Frequency response (DTFT of impulse response) | ||||
| Finding DTFTs using properties | ||||
| Using DTFT to solve an LTI equation | ||||
| Solutions (a version of exam): Problem 1, Problem 2, Problem 3, Problem 4 |
Sample midterm questions
Last updated 04/30/2003
