Contents
- 1 What is the maximum frequency component of this signal?
- 2 Why is it not advisable to sample at exactly twice the maximum frequency of the signal?
- 3 What is frequency and its unit?
- 4 How to find the frequency content of a signal?
- 5 How is the frequency spectrum related to the phase spectrum?
- 6 How is a 10 kHz sine wave modulated?
What is the maximum frequency component of this signal?
fm
fm is the maximum frequency component in a signal.
Why is it not advisable to sample at exactly twice the maximum frequency of the signal?
If the signal contains high frequency components, we will need to sample at a higher rate to avoid losing information that is in the signal. In general, to preserve the full information in the signal, it is necessary to sample at twice the maximum frequency of the signal. This is known as the Nyquist rate.
What are the frequency components of?
An example is the Fourier transform, which converts a time function into a sum or integral of sine waves of different frequencies, each of which represents a frequency component. The “spectrum” of frequency components is the frequency-domain representation of the signal.
What is frequency and its unit?
The number of periods or cycles per second is called frequency. The SI unit for frequency is the hertz (Hz). One hertz is the same as one cycle per second.
How to find the frequency content of a signal?
If x is an point segment of , one way to determine its frequency content is to take its discrete Fourier transform (DFT) by using the fast Fourier transform (FFT) to compute it: >> X=fft(x); This gives us an component vector , which in general will be complex valued.
What happens when a signal is sampled at 32 kHz?
If a signal is sampled with a 32 KHz sampling rate, any frequency components above 16 KHz, the Nyquist frequency, we get an aliasing. When a signal is sampled, its contents is reduced from real numbers to integer numbers. Values can be rounded to a superior or inferior value.
Understanding Signal Frequency Spectrum A signal can be viewed as a composition of a number of sinusoidal signals with varied amplitude, frequency and phase. Distinguishing this composition requires analyzing the corresponding frequency, amplitude and phase spectrum of the signal.
How is a 10 kHz sine wave modulated?
Consider the case when a 10 KHz sine wave is modulating a 5 MHz carrier signal. Looking at its time domain behavior (figure 2) does not expose much about the signal. On the other hand, its spectrum plot (figure 3) clearly indicates that the signal is modulated by a 10 KHz signal.