| Assignment # | Due | Problems |
| 1 | 5/6 | 1.21(abcf), 1.27, 1.30(a-f,m,n), 1.31(a), 1.34, 1.38(ab) |
| 2 | 5/9 | 2.21(a,d), 2.22(abc), 2.27, 2.40, 2.43(a,c) |
| 3 | 5/13 | 2.30, 2.33(a), 2.45(a), 3.21, 3.22(bc) |
| 4 | 5/16 | 3.24, 3.26, 3.42, 3.49, 3.54, 3.55 |
| 5 | 5/23 | 4.21(abc), 4.22(bc), 4.23(ab), 4.26(a), 4.29 |
| 6 | 5/27 | 4.41, 4.49(bc) (Half assignment, worth 5 points.) |
| 7 | 5/30 | 5.24(abc), 5.26, 5.29, 5.42 |
| 8 | 6/3 | 7.22, 7.23, 7.26, 7.29 |
| 9 | 6/6 | 9.21(adh), 9.22(acg), 9.23, 9.27, 9.28 |
| 10 | 6/13 | 10.21(acgh), 10.25, 10.28, 10.33, 10.34, 10.37 |
| Summary # | Due | Questions |
| 1 | 5/6 | Define a "signal" and a "system". Describe the basic properties of systems (linearity, causality, invertibility, etc.), giving examples and counterexamples for each. Derive the convolution integral. |
| 2 | 5/13 | From the impulse response h(t), describe how to determine whether an LTI system is: memoryless, invertible, causal, and stable. Explain the conditions of initial rest for linear constant-coefficient differential equations. Explain the importance of the complex exponential in LTI systems. |
| 3 | 5/20 | Describe the intuition behind the Fourier series representation of a periodic signal. Derive the expression for the Fourier series coefficients in discrete time. What are the principal differences between the continuous-time and discrete-time Fourier series? |
| 4 | 5/27 | Explain the continuous-time Fourier Transform, interpreting the transform for a signal (X(jw) as the spectrum of x(t)) and for a system (H(jw) as the frequency response). How can we take the Fourier transform of a periodic signal? Derive the convolution property (x(t)*y(t) <=> X(jw)Y(jw)). |
| 5 | 6/3 | Explain the differences between the DTFT and the CTFT (periodicity, etc.) Why is the DTFT periodic? What does this tell us about "frequency" in a discrete-time environment? Derive the Nyquist sampling criterion. |
| 6 | 6/10 | Compare and contrast the Laplace transform and the CTFT. Why is the ROC so important in the Laplace transform? How do you evaluate the stability and causality of a system from the pole-zero plot? |
| Lab # | Date | Problems |
| 1 | 5/1 | 1.2(a-e), 1.3(a-c), 1.4(a-d): Properties of discrete-time signals and systems |
| 2 | 5/6 | 2.7(a-e): Discrete-time convolution |
| 3 | 5/8 | 2.10(a-d): Echo cancellation |
| 5/13 | No lab |
| 4 | 5/15 | 4.6(a-e): Amplitude modulation and CTFT |
| 5 | 5/20 | 5.2(bde): Telephone touch-tone |
| 6 | 5/22 | 6.1(adeghi): A second order shock absorber |
| 7 | 5/27 | 7.1(b-f): Aliasing due to undersampling |
| 8 | 5/29 | 7.4(a-c): Bandpass Sampling |
| 9 | 6/3 | 7.4(d-f): Bandpass Sampling |
| 10 | 6/5 | 9.3(adefh): Butterworth filters |
| 11 | 6/10 | 10.3(a-g): Quantization effects in filter design |