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Signal Representation/The Convolution Theorem and Operation
[[File:EN_Sig_T_3_4_S1.png|right|frame|On calculation of signal and spectrum of the LTI output]] ...X(f)$  is applied to the input,  then the spectrum of the output signal is:

16 KB (2,526 words) - 17:50, 15 June 2023
Theory of Stochastic Signals/Expected Values and Moments
* $m_2$  corresponds to the  »signal power«  $($referred to the unit resistance  $1 \ Ω)$. #For discrete time,  the random signal  $x(t)$  is replaced by the random sequence  $〈x_ν〉$.

15 KB (2,185 words) - 19:37, 19 February 2024
Signal Representation/Possible Errors when using DFT
|Untermenü=Time and Frequency-Discrete Signal Representation *the  »windowing» that may falsely limit the signal  $x(t)$.

12 KB (2,000 words) - 17:16, 24 June 2023
Signal Representation/Differences and Similarities of Low-Pass and Band-Pass Signals
|Nächste Seite=Analytical Signal and Its Spectral Function ...f band-pass signals«  from the  »equivalent low-pass signal«,

17 KB (2,652 words) - 16:37, 19 June 2023
Signal Representation/Spectrum Analysis
|Untermenü=Time and Frequency-Discrete Signal Representation ...the distortion of the spectrum of a periodic and thus temporally unlimited signal due to the implicit time limit of the  »Discrete Fourier Transfo

16 KB (2,591 words) - 17:02, 27 June 2023
Modulation Methods/Influence of Noise on Systems with Angle Modulation
==Signal-to-noise power ratio in PM== [[File:EN_Mod_T_3_3_S1.png|right|frame|Signal-to-noise power ratio in phase modulation]]

10 KB (1,563 words) - 15:29, 13 January 2023
Linear and Time Invariant Systems/System Description in Frequency Domain
*In the book  »Signal Representation«  you were familiarized with the mathematical description of det ...ear Time-Invariant Systems«  now describes  what changes a signal or its spectrum undergoes through a transmission system  and how these

17 KB (2,685 words) - 18:50, 1 November 2023
Modulation Methods/Synchronous Demodulation
==Block diagram and time domain representation== ...e sideband (DSB) or single sideband (SSB),  with or without a carrier signal -  the so-called  »'''synchronous demodulator'''«&nbs

27 KB (4,430 words) - 11:32, 13 January 2023
Modulation Methods/Quality Criteria
*to provide a sink signal  $v(t)$  at a spatially distant sink *that differs as little as possible from the source signal   $q(t)$ .

18 KB (2,734 words) - 19:01, 12 January 2023
Signal Representation/Equivalent Low-Pass Signal and its Spectral Function
|Vorherige Seite=Analytical Signal and Its Spectral Function |Nächste Seite=Discrete-Time Signal Representation

35 KB (5,623 words) - 16:11, 21 June 2023
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