## Convolution and Fourier Transforms for Communications Engineers |

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### Contents

INTRODUCTION | 1 |

ALGEBRAIC CONVOLUTION AND GENERATING | 8 |

AN EXAMPLE OF ALGEBRAIC CONVOLUTION | 24 |

Copyright | |

10 other sections not shown

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abscissa value abscissae algebraic amplitude angular frequency assume attenuation autocorrelation function becomes Ca(T calculate Chapter characteristic function coefficient consider convolution division convolution product convolved cosine curve dB amplifier delta function differential dimension divisor electrical engineers Equation Equation 14 error example exponential f and g factor Figure Fourier integral Fourier series Fourier transform func gain Gaussian given hertz histogram infinite input integrand lens limits of integration line 4 column line-scan linear low-pass filter mathematical method millimetre modulation multiply negative noise notation obtain ordinate output periodic function phase angle picture signal probability quotient radians RC circuit reader rectangle response sampling scanning line Section sequence of delta shown in Fig shows sine wave sinusoidal spectral lines square statistical distribution symmetry synchronising pulses Table television signal theorem tion transfer function transient unit step variable vertical voltage volts waveform whence whilst width zero