Instructor: Aditya Tatu (FB-1, 1206, Ext: 540)
Lectures: Tuesday 11 - 12, Wednesday 12-13, Thursday 9:30 - 10:30.
Labs: Monday, Tuesday, Thursday & Friday 16:00-18:00: Lab 005.
TA's: Ronak Kosti(201211018), Tripti Tiwari(201211028) & Falak Shah(201311024).
Lecture 1: Introduction to the course, Signal representations.
Lecture 2: Definition of Mathematical structure, Examples of Algebraic structures for signal modeling.
Lecture 3,4,5: Linear Time Invariant Systems
Lab - 1: Sines, Cosines & Ferris Wheels
NOTE: From Wednesday 31st July onwards, lectures will take
place in CEP206
Lectures 6,7 & 8: Similarity Transformation & Discrete Fourier Transform.
Identical structures: Continuous Fourier Transform, Discrete Time Fourier Transform & Discrete Fourier Transform
Lab - 2: Linear Time Invariant Systems.
Lecture 9 & 10: Inner product spaces, Orthogonality
Lab - 3: DFT and Convolution Theorem.
Format to be followed while writing the report !
Plots for a given question should be inserted in the same question (do not append the plots in the end of the report).
DO NOT include the code in the report.
Add only those .m files that have been asked for.
The plots and the code should be readable and clear.
NOTE: Any query regarding lab assignment submission can be mailed to the TA's:
Monday/Friday Batch - Ronak Kosti
Tuesday Batch - Falak Shah
Thursday Batch - Tripti Tiwari
Lecture 11 & 12: Parseval's relation, Deriving DFT coefficients using inner products, Orthogonal transforms
Lab 4 (Week:19th - 23rd August) for Tuesday, Thursday and Friday batches will be held on Wednesday 21st August 2013, 16:00 - 18:00 hrs. Monday's batch should report for the lab as per the regular schedule.
In case you have a presentation to give in Prof. Alka Parekh's course on Wednesday, please attend Wednesday's DSP lecture. We will work out an alternative in the lecture.
Lab - 4: DCT (Discrete Cosine Transform)
Monday: 26th August - First In-Sem examination
Lecture 13: Z-Transform as isomorphism between algebras.
Lecture 14: DFT as a Vandermonde matrix
Lab - 5: Filtering long sequences
Lecture 15: Divide & Conquer FFT
Lecture 16: Divide & Conquer FFT
Lecture 17: Radix - 2, Decimation in Time FFT
The following tutorial is intended for your own evaluation.
You need not submit your solutions, but you are welcome
to discuss your solutions with me. If enough
students are interested, we can have an extra tutorial class.
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Lab 6: Fast Fourier Transform
Lecture 18: Radix - 4 DIT FFT, Split-Radix FFT, Rader's Algorithm
Lecture 19: Rader's Algorithm, Good's index mapping & CRT-index mapping
Lecture 20: Good-Thomas Algorithm
Reference for FFT:
Fast Fourier Transforms: A Tutorial Review and a State of the Art, P Duhamel and M Vetterli,
IEEE Journal of Signal Processing, vol. 4, num. 19 (1990), pages 259-299.
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Lab 7: DTFT and DFT
Lecture 21 : DTFT: Time domain sequence as Fourier series of the DTFT
Lecture 22: Convergence of DTFT
Lecture 23: DTFT of Absolute summable sequence, energy sequence, power sequence.
Lecture 24: z-transform: Relation with Laplace transform
Lecture 25: Properties of ROC
Lecture 26: Inverse z-transform: Long division method
Lecture 27: Inverse z-transforms: Partial fraction method
Second In-Sem examination
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Lab 8: Z-Transform
Lecture 28 (Extra class): Discrete systems: Modeling using LCC Difference Equations
Lecture 29: Solving LCCDEs with intial conditions: One-sided z-transforms,
Transfer functions of LCCDE systems: Importance of Rational functions of z
Lecture 30: Digital Filters: Ideal filters
Lecture 31: Linear Phase FIR filters
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Lab 9: Pole-Zero Locations & Frequency response, Phase Distortion.
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Lab 10: FIR Filter Design using Frequency Sampling and Windowing
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Lab 11: FIR Filters
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Lab 12: IIR Filters
Second In-Sem Question Paper & Solutions:
Tutorial - 3
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MAKE UP LAB SUBMISSION
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22 July - 28 July
29 July - 4 August
5 August - 11 August
12 August - 18 August
19 August - 25 August
26 August - 1 September
2 September - 8 September
9 September - 15 September
16 September - 22 September
23 September - 29 September
30 September - 6 October
7 October - 13 October
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21 October - 27 October
28 October - 3 November
4 November - 10 November
11 November - 17 November
18 November - 24 November
25 November - 1 December