**Credits**: 4

Continuous-time and discrete-time signals and systems, basic system
properties. Linear time-invariant systems, convolution. Fourier series
representation of periodic signals, Fourier transform of
continuous-time and discrete-time signals, Sampling, Laplace transform
and z-transform.

*DFT and Modulation Theory are covered in EE473 and EE374
respectively. *

**Goals:**

The course is designed to familiarize junior students with the techniques for analyzing and synthesizing continuous-time as well as discrete-time systems. Time domain and frequency domain signal analysis tools are studied, and the subjects of filtering and modulation are introduced as signal processing techniques both in continuous-time and discrete-time. Design concepts are emphasized with respect to filtering and modulation.

**Text Book**

**TA (Graduate student):** Bayram Akdeniz

TA (Senior student): ---

**Lecture Hours:**

Monday 15:00-16:00 (PS,TESLA)

Tuesday 13:00-15:00 (TESLA)

Thursday 13:00-15:00 (TESLA)

**Assignments (the course's textbook):**

**A1**: 1.49, 1.54, 1.56, 1.53, 1.55, 1.25, 1.30, 1.27, 1.31, 1.28, 1.32, 1.38, 1.39, 1.42, 1.45, 1.33, 1.36, 1.47, 1.37**A2**: 2.22 ; 2.23; 2.27; 2.36; 2.29; 2.34; 2.41; 2.42; 2.46; 2.49; 2.52; 2.54; 2.60; 2.53; 2.47; 2.44; 2.43; 2.59 ; 2.62; 2.64; 2.65; 2.66; 2.67; 2.71**A3**: 3.22; 3.25; 3.26; 3.29; 3.31; 3.36; 3.39; 3.43; 3.44; 3.45; 3.50; 3.52; 3.60; 3.66; 3.70**A4**: 4.22; 4.23; 4.25 ; 4.31; 4.28; 4.37; 4.40; 4.43 ; 4.46; 4.47; 4.44 ; 4.49; 4.48**A5**: 5.21 h,i; 5.23; 5.26; 5,28; 5.30; 5.33; 5.34; 5.41; 5.45; 5.47; 5.48; 5.51; 5.53**A6**: 7.6; 7.9; 7.10; 7.11; 7.16; 7.22; 7.26; 7.28; 7.30; 7.41; 7.44; 7.52; 7.23; 7.27; 7.29; 7.31; 7.34; 7.36; 7.43; 7.48**A7**: 10.22; 10.33; 10.37; 10.45; 10.46; 10.43; 10.55; 10.27; 10.31; 10.34; 10.41; 10.47; 10.48; 10.58; 10.65

- Assignments: Not graded, Pop-quizzes: 15%, Midterms: 25% each,
Final Exam: 35%

- No make-up exams or
quizzes

- You need to have earned minimum 20 pnts (out of 65 pnts) from the midterms and the quizzes to take the final exam.
- Grades

**Resources:**

- Online FSE Demo from JHU
- Online DTFT Demo from JHU
- Online CTFT Demo from JHU
- A note on Up-Samnpling/Down-Sampling: During downsampling a discrete-time signal, x[n], (which can be interpreted as the sampled and discretized version of an underlying BL continuous-time signal, x(t)), we multiply x[n] with an impulse train, p[n], of period N. The corresponding operation in frequency domain is convolution of X(Omega) with P(Omega), which will introduce an amplitude scaling of 1/N. The second step of down-sampling is removal of the zeros, which is contraction in discrete time, n. This will result in expansion in Omega. During upsampling, we insert zeros into a discrete-time signal, x[n]. This is direct expansion in in discrete time, n, and will result in contraction in Omega. The second step of upsampling is a LPF, which will replace the newly inserted zeros with the newly computed samples of the underlying BL continuous-time signal, x(t). If you use a unit amplitude ideal LPF, then the upsampled signal's fourier transform will not have an amplitude change but it will only be contracted. If you use an ideal LPF with amlitude N, then the upsampled signal's fourier transform' magnitude will be multiplied by N and it will also be contracted, preserving the energy. We used unit amplitude LPF, hence said there is no magnitude change in up-sampling. Unless the LPF used or the energy is specified, as long as you specify the LPF you use, and work out the problems accordingly, either way is fine. See the MIT's open-course notes on this topic. Check Figures 19.8 and 19.12.