Hello Srinath, awesome video, indeed!! Thanks. Just had a quick question. At 11.58min of your video, when you are describing the effect of increasing the sampling rate, 1) you are increasing the sampling rate from 2500Hz to 25000Hz. BUT 2) you are using the SAME signal (right?), that you previously sampled at a rate of 2500Hz. IF SO, then how come the bandwidth of the signal got changed (!). Let's say, I have a sinusoidal signal of frequency 5Hz. Does the bandwidth of the SIGNAL change When I sample it at 10 Hz and at 100Hz, respectively? Would be great if you could clarify this confusion!! Thanks in advance.
Sampling rate (in the time domain) is how many samples are being acquired in a given time. In this video, I considered two cases wherein the signal was being acquired with different sampling rates (2500Hz and 25000Hz). Now sampling rate has a consequence in the frequency domain which is bandwidth. One has to sample the signal at least 2.5 times than the highest frequency of interest. Hence in acoustic recordings, as our frequencies of interest lies within the human hearing range (20Hz - 20KHz), we usually sample at 48KHz. In other words a signal sampled at 48KHz would result in a bandwidth of up to 20KHz in the frequency domain. If the signal was only sampled at 24KHz then the bandwidth is now reduced to around 12KHz because the current sampling frequency is too slow to accurately sample the fast oscillating high frequency waves. To answer the other question: If your sine wave of 5Hz is sampled at 10Hz and 100Hz, the bandwidth in frequency domain is different in each case although you will only see 5Hz result in the spectrum. If you had an additional sine wave of say 20Hz then you cannot sample it with 10Hz as it is less than 20Hz, it will fail to capture it.
Hello Srinath, awesome video, indeed!! Thanks.
Just had a quick question. At 11.58min of your video, when you are describing the effect of increasing the sampling rate,
1) you are increasing the sampling rate from 2500Hz to 25000Hz.
BUT
2) you are using the SAME signal (right?), that you previously sampled at a rate of 2500Hz.
IF SO, then how come the bandwidth of the signal got changed (!).
Let's say, I have a sinusoidal signal of frequency 5Hz. Does the bandwidth of the SIGNAL change When I sample it at 10 Hz and at 100Hz, respectively?
Would be great if you could clarify this confusion!!
Thanks in advance.
Sampling rate (in the time domain) is how many samples are being acquired in a given time. In this video, I considered two cases wherein the signal was being acquired with different sampling rates (2500Hz and 25000Hz). Now sampling rate has a consequence in the frequency domain which is bandwidth. One has to sample the signal at least 2.5 times than the highest frequency of interest. Hence in acoustic recordings, as our frequencies of interest lies within the human hearing range (20Hz - 20KHz), we usually sample at 48KHz. In other words a signal sampled at 48KHz would result in a bandwidth of up to 20KHz in the frequency domain. If the signal was only sampled at 24KHz then the bandwidth is now reduced to around 12KHz because the current sampling frequency is too slow to accurately sample the fast oscillating high frequency waves.
To answer the other question: If your sine wave of 5Hz is sampled at 10Hz and 100Hz, the bandwidth in frequency domain is different in each case although you will only see 5Hz result in the spectrum. If you had an additional sine wave of say 20Hz then you cannot sample it with 10Hz as it is less than 20Hz, it will fail to capture it.