# How do you create a frequency modulated signal in Matlab?

## How do you create a frequency modulated signal in Matlab?

Examples

1. View MATLAB Command. Set the sampling frequency to 1kHz and carrier frequency to 200 Hz.
2. fs = 1000; fc = 200; t = (0:1/fs:0.2)’;
3. x = sin(2*pi*30*t)+2*sin(2*pi*60*t);
4. fDev = 50;
5. y = fmmod(x,fc,fs,fDev);
6. plot(t,x,’c’,t,y,’b–‘) xlabel(‘Time (s)’) ylabel(‘Amplitude’) legend(‘Original Signal’,’Modulated Signal’)

What is frequency modulation in Matlab?

Frequency modulation is the encoding of data in a carrier wave by changing the immediate frequency of the wave. In other words in frequency modulation, the frequency, as opposed to the amplitude of the carrier wave, is made to change in relation to the differing amplitude of the modulating signal.

How do you do modulation in Matlab?

y = modulate( x , fc , fs ) modulates the real message signal x with a carrier frequency fc and sample rate fs . If x is a matrix, the modulated signal is computed independently for each column and stored in the corresponding column of y . [ y , t ] = modulate( x , fc , fs ) also returns the internal time vector t .

### How do you do frequency modulation?

FM signals can be generated either by using direct frequency modulation, which is achieved by inputting a message directly into a voltage-controlled oscillator, or by using indirect frequency modulation, which is achieved by integrating a message signal to generate a phase-modulated signal, which is then used to …

What is meant by carrier frequency?

Carrier frequency is defined as the frequency of a carrier wave, measured in cycles per second, or Hertz, that is modulated to transmit signals.

How do you calculate frequency deviation in FM?

f(t) = f0 + ∆f(t) Peak deviation: In the case of frequency modulation, the peak deviation ∆f is the absolute maximum of the difference between the unmodulated carrier frequency (f0) and the instantaneous frequency f(t).

#### What is modulation index formula?

Modulation index μ=AmAc. Frequency of lower side band f1=fc−fm. Frequency of the upper side band f1=fc+fm. Complete step-by-step answer: Modulation index is defined as a measure of the extent of modulation done on a carrier signal wave.

What is FC FM?

The frequency of a carrier (fc) will increase as the amplitude of modulating (input) signal increases. The carrier frequency will be maximum (fc max) when the input signal is at its peak. The figure shows the frequency of the FM wave when the input is at its max, 0V, and at its min.

How do I know what frequency my carrier is?

The carrier frequency can then be calculated as 2X99/100×1/100 which approximates to 1 in 50. Thus a rough approximation of the carrier frequency can be obtained by doubling the square root of the disease incidence. For an X-linked disorder the frequency of affected males equals the frequency of the mutant allele, q.

## Which is the sine wave frequency in MATLAB?

in sine function in MATLAB it is always sin(wt). here frequency w is in radian/sec not f (in HZ) so w will give you the no.of the cycle. if you want to use the sin(2*pi*60*t) you can use the sind(2*pi*9.545*t).

How to modulate a sine wave using FM?

Apply baseband modulation to a sine wave input signal and plot its response. Set the example parameters. Create a sinusoidal input signal with duration 0.5s and frequency 4 Hz. Create an FM modulator System object™. FM modulate the input signal and plot its real part.

What is the value of fmmod in MATLAB?

y = fmmod (x,Fc,Fs,freqdev) returns a frequency modulated (FM) signal y, given the input message signal x, where the carrier signal has frequency Fc and sampling rate Fs . freqdev is the frequency deviation of the modulated signal. The value of Fs must satisfy Fs ≥ 2 Fc.

### How do you modulate a sinusoidal input signal?

Create a sinusoidal input signal with duration 0.5s and frequency 4 Hz. Create an FM modulator System object™. FM modulate the input signal and plot its real part. You can see that the frequency of the modulated signal changes with the amplitude of the input signal.