Signal Processing

Signal Processing Interview Questions and Answers for Freshers

Updated 1 Sep 2016

Q1. If two sine waves of different frequency are added will resultant wave be periodic. If so what is period

Ans.

Yes, the resultant wave will be periodic with a period equal to the least common multiple of the two frequencies.

  • The period of the resultant wave is determined by the least common multiple of the two frequencies.

  • If the frequencies are incommensurable, the resultant wave will not be periodic.

  • If the frequencies are harmonically related, the resultant wave will have a period equal to the fundamental period of the lower frequency.

  • The amplitude and phase of the resultant wave will...read more

Q2. If a sine wave is sampled at 1.5 times its original frequency, can the original wave be retained? (Ans: Yes)

Ans.

Sampling a sine wave at 1.5 times its original frequency retains the original wave.

  • The original wave can be reconstructed using interpolation techniques.

  • The Nyquist-Shannon sampling theorem states that a signal can be perfectly reconstructed if it is sampled at twice its highest frequency component.

  • Sampling at 1.5 times the original frequency satisfies the Nyquist-Shannon sampling theorem.

  • This technique is used in digital audio processing.

Q3. What does odd and even harmonics of fourier series signify

Ans.

Odd harmonics represent asymmetry in a signal while even harmonics represent symmetry.

  • Odd harmonics are multiples of the fundamental frequency and have a phase shift of 90 degrees.

  • Even harmonics are also multiples of the fundamental frequency but have a phase shift of 0 degrees.

  • Odd harmonics represent the asymmetry in a signal, while even harmonics represent the symmetry.

  • For example, a square wave has odd harmonics only, while a triangle wave has both odd and even harmonics.

Q4. Explain Fourier Series based on your understanding

Ans.

Fourier series is a mathematical representation of a periodic function as a sum of sine and cosine functions.

  • Fourier series is used to analyze and synthesize periodic signals.

  • It decomposes a periodic function into a sum of sine and cosine functions with different frequencies and amplitudes.

  • The Fourier coefficients represent the amplitude and phase of each frequency component.

  • The Fourier series can be used to approximate non-periodic functions by extending the function periodi...read more

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Q5. Explain aliasing, nyquist sampling theorem

Ans.

Aliasing occurs when a signal is sampled at a rate lower than the Nyquist rate, resulting in distorted or incorrect signal representation.

  • Nyquist sampling theorem states that a signal must be sampled at a rate at least twice its highest frequency component to avoid aliasing.

  • Aliasing can be avoided by using a low-pass filter to remove high-frequency components before sampling.

  • Examples of aliasing include the wagon-wheel effect in movies and the distorted sound of a guitar stri...read more

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