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gauspuls

Gaussian-modulated sinusoidal RF pulse

Description

yi = gauspuls(t,fc,bw) returns a unit-amplitude Gaussian-modulated sinusoidal RF pulse at the times indicated in array t, with a center frequency fc in hertz and a fractional bandwidth bw

yi = gauspuls(t,fc,bw,bwr) returns a unit-amplitude inphase Gaussian RF pulse with a fractional bandwidth of bw as measured at a level of bwr dB with respect to the normalized signal peak.

[yi,yq] = gauspuls(___) also returns the quadrature pulse. This syntax can include any combination of input arguments from previous syntaxes.

[yi,yq,ye] = gauspuls(___) returns the RF signal envelope.

example

tc = gauspuls('cutoff',fc,bw,bwr,tpe) returns the cutoff time tc at which the trailing pulse envelope falls below tpe dB with respect to the peak envelope amplitude.

Examples

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Plot a 50 kHz Gaussian RF pulse with 60% bandwidth, sampled at a rate of 10 MHz. Truncate the pulse where the envelope falls 40 dB below the peak. Also plot the quadrature pulse and the RF signal envelope.

tc = gauspuls('cutoff',50e3,0.6,[],-40);
t = -tc : 1e-7 : tc;
[yi,yq,ye] = gauspuls(t,50e3,0.6);

plot(t,yi,t,yq,t,ye) Input Arguments

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Vector of time values at which the unit-amplitude Gaussian RF pulse is calculated.

Data Types: single | double

Center frequency of the Gaussian-modulated sinusoidal pulses, specified as a real positive scalar expressed in Hz.

Fractional bandwidth of the Gaussian-modulated sinusoidal pulses,specified as a real positive scalar.

Fractional bandwidth reference level of the Gaussian-modulated sinusoidal pulses, specified as a real negative scalar. bwr indicates a reference level less than peak (unit) envelope amplitude. The fractional bandwidth is specified in terms of power ratios. This corresponds to the -3 dB point expressed in magnitude ratios.

Trailing pulse envelope level, specified as a real negative scalar in dB. The tpe indicates a reference level less than peak (unit) envelope amplitude.

Output Arguments

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Inphase Gaussian-modulated sinusoidal pulse, returned as a vector of unit amplitude at the times indicated by the time vector t.

Quadrature Gaussian-modulated sinusoidal pulse, returned as a vector of unit amplitude at the times indicated by the time vector t.

RF signal envelope of unit amplitude at the times indicated by the time vector t.

The cutoff time in seconds at which the trailing pulse envelope falls below tpe dB with respect to the peak envelope amplitude.