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With the help of the B.Tech. AKTU Quantum Book, master the skill of digital signal processing. Gain access to important notes, frequently asked questions, and insightful knowledge in this area. **Unit-4 DFT and FFT**

Dudes 🤔.. You want more useful details regarding this subject. Please keep in mind this as well.Important Questions For Digital Signal Processing:*Quantum*B.tech-Syllabus**CircularsB.tech*AKTU RESULTBtech 3rd Year*Aktu Solved Question Paper

**Q1. Calculate the DFT of x(n) = cos an.**

**Ans. Given: **x(n) = cos an

**To Find:** DFT.

2. Putting n = 0, 1,………….N-1

**Q2. Find the 10-point DFT of the following sequence:**

**Ans. **1. For 10 point DFT, N= 10

**Q3. Determine the 4-point discrete time sequence from its DFT X(k) = {4, 1 – j, -2, 1 + j}.**

**Ans. **1. IDFT is defined as

6. Therefore, the IDFT of the given DFT produces the following four point discrete time sequence.

x(n) = {1, 2, 0, 1}

**Q4. Derive the relation between DFT and z-transform of a discrete time sequence x(n).**

**Ans. **1. The z-transform of x(n) is given as

2. If X(z) is sampled at the N equally spaced points on the unit circle, these points will be

3. The R.H.S. of eq. (4.10.1) is DFT X(k), thus the relationship between DFT and z-transform

**Q5. Compute the circular convolution of two discrete time sequences x**_{1} (n) = {1,2, 1,2} and x_{2} (n) = {3, 2, 1, 4}.

_{1}(n) = {1,2, 1,2} and x

_{2}(n) = {3, 2, 1, 4}.

**Ans. Given: x**_{1}** (n) = {1,2, 1,2}, x**_{2}** (n) = {3, 2, 1, 4}**

**To Find: **Circular convolution.** **

**Q6. Find the linear convolution using circular convolution of the following sequence:**

** x(n) = {1,2, 1}, h(n) = {1, 2}.**

**Ans. Given: **x(n) = {1,2, 1}, h(n) = {1, 2}

**To Find:** Linear convolution.

3. Let us make length of x(n) and h(n) equal to 4 by adding zeros at end.

5. Substituting the values of W_{4} and x_{n} in eq. (4.17.1), we get

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**Digital Signal Processing** Btech Quantum PDF, Syllabus, Important Questions

**Digital Signal Processing**Btech

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