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Theory of Stochastic Signals/Power-Spectral Density
...ier_integral|"Inverse Fourier transform"]]  in the book  "Signal Representation"): *The random signal  $x(t)$  is applied to a  (preferably)  rectangular and

19 KB (2,939 words) - 17:13, 22 December 2022
Linear and Time Invariant Systems/Inverse Laplace Transform
...ce transform of the output signal  $y(t)$  considering the input signal  $x(t)$ .  $Y_{\rm L}(p)$  is characterized by  $N ...}(p) = 1$   ⇒   $Y_{\rm L}(p) = H_{\rm L}(p)$, the output signal  $y(t)$  then describes the [[Linear_and_Time_Invariant_Systems/S

20 KB (3,260 words) - 17:03, 21 November 2023
Mobile Communications/Multi-Path Reception in Mobile Communications
*A  »'''two-way channel'''«:   <br>The transmitted signal  $s(t)$  reaches the receiver on a direct path with the path leng Thus, the following applies to the received signal:

14 KB (2,197 words) - 15:44, 29 January 2023
Theory of Stochastic Signals/Matched Filter
...also called  "correlation filter"  –  is used to prove the signal existence. *Let the useful component  $g(t)$  of the received signal  $r(t)=g(t)+n(t)$  be pulse-shaped and thus  "energy-limited

18 KB (2,987 words) - 11:22, 22 December 2022
Digital Signal Transmission/Optimal Receiver Strategies
...re decided simultaneously,  statistical bindings between the received signal samples can be taken into account during detection,  which results in ...bsp; and the signal  $s(t)$.  This measure is only for a simpler representation and is not a restriction.<br>

23 KB (3,666 words) - 14:16, 11 July 2022
Signal Representation/The Fourier Transform and its Inverse
...en one comes from the periodic signal to the unique  »aperiodic signal«  – often also called  »pulse«. ...ely large value  $T_0$,  one speaks of an  »aperiodic signal«.

22 KB (3,658 words) - 13:38, 14 June 2023
Modulation Methods/Double-Sideband Amplitude Modulation
We consider the following problem:  a source signal $q(t)$,  whose spectrum  $Q(f)$  is bandlimited to the ...tion of frequency  $f_{\rm T}$, which we will refer to as the carrier signal  $z(t)$.

25 KB (4,222 words) - 14:42, 18 January 2023
Digital Signal Transmission/Symbolwise Coding with Pseudo-Ternary Codes
...bsp; matches the bit duration  $T_{\rm B}$  of the binary source signal,  and ...]  with respect to the input signal  $b(t)$  and the output signal  $c(t)$: 

15 KB (2,474 words) - 00:47, 23 March 2023
Modulation Methods/Quadrature Amplitude Modulation
==General description and signal space allocation== ...e| Linear modulator with  $\rm I$ and  $\rm Q$–components;  signal space for  $\text{16-QAM}$]]

27 KB (4,342 words) - 15:50, 13 January 2023
Modulation Methods/Envelope Demodulation
*Let the source signal  $q(t)$  be free of a DC component and limited in magnitude to &n *For simplicity of representation,  the carrier phase is set to  $\mathbf{ϕ_{\rm T} } = 0$  w

31 KB (4,950 words) - 11:44, 13 January 2023
Signal Representation/Calculating with Complex Numbers
|Vorherige Seite=Signal Classification == Representation by magnitude and phase==

12 KB (1,973 words) - 17:45, 7 June 2023
Digital Signal Transmission/Carrier Frequency Systems with Coherent Demodulation
== Signal space representation of linear modulation == ...ation Methods",  the structure of the optimal receiver and the signal representation by means of basis functions were treated by the example of baseband transmi

33 KB (5,393 words) - 12:04, 17 November 2022
Linear and Time Invariant Systems/Linear Distortions
|Untermenü=Signal Distortion and Equalization ...enuation curve must be constant for all frequencies contained in the input signal:

18 KB (2,829 words) - 19:47, 14 November 2023
Information Theory/AWGN Channel Capacity for Continuous-Valued Input
...l_of_digital_signal_transmission|"Information-theoretical model of digital signal transmission"]]  the  "mutual information"  between the two ...ous mutual information  $I(X;Y) = h(X) + h(Y) - h(XY)$.   This representation is also found in the following diagram  $($left graph$)$.

21 KB (3,453 words) - 16:22, 28 February 2023
Examples of Communication Systems/Speech Coding
...ansmission to  $\text{22.8 kbit/s}$  and to reproduce the speech signal at the receiver side in the best possible way. Different signal processing methods are used for speech encoding and decoding:

30 KB (4,749 words) - 16:06, 20 February 2023
Theory of Stochastic Signals/Auto-Correlation Function
An important concept in stochastic signal theory is the  "random process".  Below are some characteristics ...r physical and statistical properties,  each of which yields a random signal  $x_i(t)$.

30 KB (4,674 words) - 11:07, 22 December 2022
Linear and Time Invariant Systems/Laplace Transform and p-Transfer Function
...whose input the signal  $x(t)$  is applied to.  The output signal  $y(t)$  is then obtained as the convolution product  $x(t) #However,  if the signal  $x(t)$  has periodic components and thus the spectral function &

24 KB (3,967 words) - 17:56, 19 November 2023
Digital Signal Transmission/System Components of a Baseband Transmission System
Untermenü=Digital Signal Transmission under Idealized Conditions ...h some simplifying assumptions:  a redundancy-free binary transmitted signal,  no intersymbol interference.  Although the description is mainl

28 KB (4,573 words) - 14:51, 31 August 2022
Digital Signal Transmission/System Components of a Baseband Transmission System GS
Untermenü=Digital Signal Transmission under Idealized Conditions ...h some simplifying assumptions:  a redundancy-free binary transmitted signal,  no intersymbol interference.  Although the description is mainl

28 KB (4,573 words) - 11:30, 12 April 2023
Modulation Methods/Phase Modulation (PM)
#the  »signal characteristics and spectral functions«  of angle-modulated sign #the  »signal-to-noise power ratio«  of FM,  which is more favorable than

31 KB (4,943 words) - 14:43, 18 January 2023