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- ...<h3> <a href=":Category:Signal_Representation:_Exercises">Signal Representation</a> </h3> <p>58 exercises ⇒ 250 subtasks</p>3 KB (266 words) - 16:05, 9 October 2022
- ...<h3> <a href=":Category:Signal_Representation:_Exercises">Signal Representation</a> </h3> <p>58 exercises ⇒ 250 subtasks</p>3 KB (266 words) - 10:12, 8 October 2022
- ...oscillation« and the limiting case »direct current signal«. ...and their description by the analytical signal and the equivalent low-pass signal.3 KB (421 words) - 19:31, 24 March 2023
- ==Time signal representation== ...bsp; $t$ from $-\infty$ to $+\infty$. Such a signal is the borderline case of a [[ Signal_Representation/Harmonic_Oscilla8 KB (1,233 words) - 16:55, 8 June 2023
- ...iated demodulators: Phase modulation and frequency modulation. Signal-to-noise ratio with angle modulation. *The description builds on the books »[[Signal Representation]]« and »[[Linear_and_Time_Invariant_Systems]]«4 KB (435 words) - 13:25, 3 April 2023
- |Nächste Seite=Direct Current Signal - Limit Case of a Periodic Signal ...of a »DC signal« as a limiting case of a periodic signal,6 KB (885 words) - 16:13, 8 June 2023
- ...etail with stochastic signals and their modelling. Knowledge of stochastic signal theory is an important prerequisite for understanding the following books, ...www}$-books, which describe the [[Signal Representation|»representation of deterministic signals«]] as well as the [[Linear_and_T4 KB (460 words) - 13:24, 3 April 2023
- {{BlaueBox|TEXT=Based on the book [[Signaldarstellung|»Signal Representation«]], here it is described how to mathematically capture the infl The filter influence on a random signal is only dealt with in the last chapter of the book [[Theory_of_Stocha4 KB (486 words) - 18:38, 1 November 2023
- ...presentation]]" and [[Theory_of_Stochastic_Signals|"Stochastic Signal Theory"]] $($Books 1 and 3$)$ is assumed for understanding this {{Collapse1| header=Digital Signal Transmission under Idealized Conditions4 KB (527 words) - 11:31, 31 March 2023
- |Nächste Seite=Equivalent Low-Pass Signal and Its Spectral Function ...nbsp; $f_{\rm T}$ is much larger than the bandwidth of the band-pass signal $x(t)$.13 KB (2,150 words) - 17:48, 19 June 2023
- |Vorherige Seite=Direct Current Signal - Limit Case of a Periodic Signal ...as well as in many natural sciences. The diagram shows an exemplary signal waveform.15 KB (2,344 words) - 17:39, 9 June 2023
- |Untermenü=Time and Frequency-Discrete Signal Representation |Vorherige Seite=Equivalent Low-Pass Signal and Its Spectral Function18 KB (2,937 words) - 14:51, 22 June 2023
- ...system, both deterministic signals and stochastic signal occur. A »'''deterministic signal'''« exists, if its time function $x(t)$ can b16 KB (2,524 words) - 14:46, 22 June 2023
- ...e stray components $(2\sigma^2)$ the better suited for digital signal transmission is the mobile communication channel. == Example of signal behaviour with Rice fading==7 KB (1,061 words) - 16:55, 3 February 2023
- |Untermenü=Time and Frequency-Discrete Signal Representation |Vorherige Seite=Discrete-Time Signal Representation20 KB (3,186 words) - 17:57, 28 June 2023
- *Many of the fundamentals covered in the book »[[Signal Representation]]« are still valid. Differences arise from the radio chan ===Exercises and multimedia===4 KB (530 words) - 13:27, 3 April 2023
- The two input signals and the output signal have the following characteristics: ...low-frequency message signal and has the spectrum $Q(f)$. This signal is continuous in value and time and limited to the frequency range $|17 KB (2,756 words) - 19:09, 12 January 2023
- ...al Representation» it was explained that for any deterministic signal $x(t)$ a »spectral function« $X(f)$&nbs ...mation about the spectral function is already contained in the time domain representation, even if not always immediately recognizable. The same facts apply to14 KB (2,235 words) - 18:21, 2 November 2023
- ...D41__Sto_T_3_1_S1_neu.png |right|frame| Signal and PDF of a Gaussian noise signal]] The graphic shows a section of a stochastic noise signal $x(t)$ whose instantaneous value can be taken as a continuous r11 KB (1,672 words) - 11:32, 12 April 2023
- The »'''Fourier series'''« of a periodic signal $x(t)$ is defined as follows: ...e »'''basic circular frequency'''« of the periodic signal $(T_0$ is the period duration$)$.}}20 KB (3,164 words) - 18:21, 15 November 2023
- *the structure and representation of »digital filters« (non-recursive and recursive), ...operties of the »Wiener-Kolmogorow filter« for the signal reconstruction.17 KB (2,779 words) - 11:17, 22 December 2022
- |Vorherige Seite=Signal Representation |Nächste Seite=Signal Classification17 KB (2,614 words) - 19:56, 6 June 2023
- [[File:EN_Mod_T_2_5_S1.png|right|frame|Spectrum (of the analytical signal) for vestigial sideband amplitude modulation]] In this schematic representation, one recognizes:8 KB (1,275 words) - 11:52, 13 January 2023
- ...tem}$ with the signal $s(t)$ at the input and the output signal $r(t)$. For the sake of simplicity, let $s(t)$ and ...verse Fourier transform}$]] of $H(f)$. The output signal results from the convolution:10 KB (1,542 words) - 15:41, 29 January 2023
- $\text{Example 1:}$ The graph shows two signal waveforms with uniform amplitude distribution. ...given. Rather, this sawtooth signal represents a deterministic signal.}}11 KB (1,638 words) - 19:01, 20 February 2024
- ...itter-side carrier signal $z(t)$ and the receiver-side carrier signal $z_{\rm E}(t) =2\cdot z(t)$ are omitted. ...;$z(t)$ and AWGN noise, characterized by the additive Gaussian noise signal $n(t)$. The second interference component (interference f13 KB (2,071 words) - 17:13, 19 January 2023
- ...lated signal $s(t)$ requires twice the bandwidth of the source signal $q(t)$. In this representation, one can see:14 KB (2,244 words) - 14:43, 18 January 2023
- *Instead of a broadband, strongly modulated signal, a large number of narrowband, mutually orthogonal subcarriers ...t data rates for the subcarriers. This means that a high-rate source signal must be split into several signals of significantly lower symbol rate for t18 KB (2,900 words) - 18:31, 23 January 2023
- ...r_Transform_(DFT)|"Discrete Fourier Transform"]] of the book "Signal Representation" and is identical to the one there [[Aufgaben:Exercise_5.2:_Inverse_D ...s thus describes the discrete form of the Fourier correspondence of the DC signal:7 KB (1,085 words) - 20:22, 7 March 2023
- Untermenü=Signal Distortion and Equalization ...' is understood to be undesirable deterministic changes in a message signal caused by a transmission system. }}14 KB (2,172 words) - 17:30, 9 November 2023
- [[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
- * $m_2$ 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
- |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
- |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
- |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 Transfo16 KB (2,591 words) - 17:02, 27 June 2023
- ==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
- *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 these17 KB (2,685 words) - 18:50, 1 November 2023
- ==Block diagram and time domain representation== ...e sideband (DSB) or single sideband (SSB), with or without a carrier signal - the so-called »'''synchronous demodulator'''«&nbs27 KB (4,430 words) - 11:32, 13 January 2023
- *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
- |Vorherige Seite=Analytical Signal and Its Spectral Function |Nächste Seite=Discrete-Time Signal Representation35 KB (5,623 words) - 16:11, 21 June 2023
- ...ier_integral|"Inverse Fourier transform"]] in the book "Signal Representation"): *The random signal $x(t)$ is applied to a (preferably) rectangular and19 KB (2,939 words) - 17:13, 22 December 2022
- ...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/S20 KB (3,260 words) - 17:03, 21 November 2023
- *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
- ...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-limited18 KB (2,987 words) - 11:22, 22 December 2022
- ...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
- ...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
- 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
- ...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
- ==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
- *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 $\mathbf{ϕ_{\rm T} } = 0$ w31 KB (4,950 words) - 11:44, 13 January 2023
