Sampling Theorem

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Signal & System: Sampling Theorem in Signal and System
Topics discussed:
1. Sampling.
2. Sampling Theorem.

Music:
Axol x Alex Skrindo - You [NCS Release]

#SignalAndSystemByNeso #Signal&System #SamplingTheorem

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Once I get employed, I will donate for sure

riseabovehate

2:49 what is band-limited signal?
4:05 what is omega m? (in fourier transform of message siganal m(t))
5:14 c(t) is periodic impulse train
8:27 sample signal s(t) is m(t) x c(t)
15:53 condition for no overlapping
17:15 what condition the overlapping will occur

daechimath

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Plus point is, your English fluency is so damn good.

sahilsingh

You covered almost 2 weeks of portion my faculty taught. Idk why they make it so complicated and actual concept never goes in our minds. Thank you Neso Academy

ItsWindNWheels

Thank you so much sir, ur effort helps many students lyk me in understanding concepts. Pls keep going <3

srivarshinikillada

It is great that how in such a simple and efficient manner you clear all our concepts. Keep it up and yes....thanks a lot!!

mohitbhandari

Happy Teachers Day to the sir. Probably the most selfless and one of the best teachers on YouTube!

gaurangmohta

Best explanation sir. Thank u so much. Mujhe sir book se samajh me nahi aa Raha tha. Thank you so much sir samjha ne k liye.
Sampling theorem ka is se best explanation aur koi nahi ho Sakta.
Thank you sir.

shubhamsaurabh

Thank you so much! Finally there is someone who can explain the sampling theorem clearly to me. I sincerely wish we have professors like you in universities.

tuonguc

🎯 Key points for quick navigation:

00:00 *🎙️ Introduction to Sampling*
- Explanation of the need for converting continuous signals to discrete signals,
- Importance of sampling due to the prevalence of digital technologies.
01:17 *📉 Defining Sampling and Band-limited Signals*
- Detailed definition of sampling and its reversible conversion process,
- Introduction to the concept of band-limited signals and their importance,
- Description of the signal spectrum being nonzero within a finite frequency range.
03:29 *⚙️ Conversion Process and Signal Spectrum*
- Explanation of the sampler as a device multiplying signals,
- Description of sampling frequency and its relation to signal frequency,
- Presentation of the signal amplitude in terms of instantaneous values.
08:36 *🔄 Fourier Transform and Convolution*
- Derivation of the spectrum of the sampled signal using convolution,
- Use of Fourier transform properties for simplifying signal representation.
13:18 *🎯 Spectrum Analysis and Overlapping Conditions*
- Expansion of the Fourier transform expression and plotting of the spectrum,
- Analysis of conditions for spectrum overlap and the implication for signal recovery,
- Introduction of the "guard band" concept between non-overlapping spectra.
16:42 *📏 Sampling Theorem Explanation*
- Formal definition of the sampling theorem and its conditions,
- Importance of the condition Omega s ≥ 2*Omega M for successful signal recovery.
19:16 *🔍 Practical Implications and Example*
- Discussion of why band-limited signals are essential to avoid overlapping,
- Presentation of an example illustrating the consequences of non-band-limited signals.

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bhavyajain

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