%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % Questo pacchetto è stato realizzato per velocizzare la scrittura % di documenti da parte di studenti della facoltà di Ingegneria dell'informazione. % E' in particolar modo indicato per gli studenti iscritti in facoltà di % Ingegneria delle Telecomunicazioni. % % Si ringrazia per i suggerimenti sui simboli da usare Alessio Sanna, % per i preziosi consigli pratici di programmazione Enrico Gregorio e, % in particolar modo, Claudio Beccari, per aver reso simboli ed unità % di misura conformi agli standard ISO e ai numerosi suggerimenti. % % Copyright 2009-2012 Claudio Fiandrino % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \NeedsTeXFormat{LaTeX2e} \ProvidesPackage{engtlc}[2012/12/18 LaTeX package for telecommunications engineering version 3.2] \@ifpackageloaded{amsmath}{}{\PackageError{engtlc}{Package amsmath is currently not loaded}{}} \@ifpackageloaded{amssymb}{}{\PackageError{engtlc}{Package amssymb is currently not loaded}{}} \@ifpackageloaded{textcomp}{}{\PackageWarning{engtlc}{Package texcomp should be loaded% \MessageBreak in advance; missing this package some commands may \MessageBreak behave poorly}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % unità di misura % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \providecommand*{\unit}[1]{\ensuremath{\,\mathrm{#1}}} \providecommand*{\micro}{\expandafter\ifx\csname muup\endcsname\relax \text{\textmu}\else\muup\fi} % prefisso micro %%%%%%%%%%%%%%%%%%%%%%%%%%% % tempo %%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\ho}{\unit{h}} \newcommand{\s}{\unit{s}} \newcommand{\ms}{\unit{ms}} \newcommand{\us}{\unit{\micro s}} \newcommand{\ns}{\unit{ns}} \newcommand{\ps}{\unit{ps}} %%%%%%%%%%%%%%%%%%%%%%%%%%% % metri %%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\um}{\unit{\micro m}} \newcommand{\mm}{\unit{mm}} \newcommand{\cm}{\unit{cm}} \newcommand{\dm}{\unit{dm}} \newcommand{\m}{\unit{m}} \newcommand{\km}{\unit{km}} %%%%%%%%%%%%%%%%%%%%%%%%%%% % corrente %%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\MA}{\unit{MA}} \newcommand{\kA}{\unit{kA}} \newcommand{\A}{\unit{A}} \newcommand{\mA}{\unit{mA}} \newcommand{\uA}{\unit{\micro A}} \newcommand{\nA}{\unit{nA}} %%%%%%%%%%%%%%%%%%%%%%%%%%% % tensione %%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\MV}{\unit{MV}} \newcommand{\kV}{\unit{kV }} \newcommand{\V}{\unit{V}} \newcommand{\mV}{\unit{mV}} \newcommand{\uV}{\unit{\micro V}} %%%%%%%%%%%%%%%%%%%%%%%%%%% % resistenza %%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\mohm}{\unit{m\Omega}} \providecommand{\ohm}{\unit{\Omega}} \newcommand{\kohm}{\unit{k\Omega}} \newcommand{\Mohm}{\unit{M\Omega}} %%%%%%%%%%%%%%%%%%%%%%%%%%% % conduttanza %%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\pSi}{\unit{pS}} \newcommand{\nSi}{\unit{nS}} \newcommand{\uSi}{\unit{\micro S}} \newcommand{\mSi}{\unit{mS}} \newcommand{\Si}{\unit{S}} \newcommand{\kSi}{\unit{kS}} \newcommand{\MSi}{\unit{MS}} %%%%%%%%%%%%%%%%%%%%%%%%%%% % capacità %%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\fFa}{\unit{f\/F}} \newcommand{\pFa}{\unit{pF}} \newcommand{\nFa}{\unit{nF}} \newcommand{\uFa}{\unit{\micro F}} \newcommand{\mFa}{\unit{mF}} \newcommand{\Fa}{\unit{F}} %%%%%%%%%%%%%%%%%%%%%%%%%%% % induttanza %%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\fHe}{\unit{fH}} \newcommand{\pHe}{\unit{pH}} \newcommand{\nHe}{\unit{nH}} \newcommand{\uHe}{\unit{\micro H}} \newcommand{\mHe}{\unit{mH}} \newcommand{\He}{\unit{H}} %%%%%%%%%%%%%%%%%%%%%%%%%%% % db %%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\dB}{\unit{dB}} \newcommand{\dBm}{\unit{dBm}} %%%%%%%%%%%%%%%%%%%%%%%%%%% % potenza %%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\uW}{\unit{\micro W}} \newcommand{\mW}{\unit{mW}} \newcommand{\W}{\unit{W}} \newcommand{\kW}{\unit{kW}} \newcommand{\MW}{\unit{MW}} %%%%%%%%%%%%%%%%%%%%%%%%%%% % frequenza %%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\Hz}{\unit{Hz}} \newcommand{\kHz}{\unit{kHz}} \newcommand{\MHz}{\unit{MHz}} \newcommand{\GHz}{\unit{GHz}} \newcommand{\THz}{\unit{THz}} %%%%%%%%%%%%%%%%%%%%%%%%%%% % bit e chip %%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\bit}{\unit{bit}} \newcommand{\kbit}{\unit{Kib}} \newcommand{\Mbit}{\unit{Mib}} \newcommand{\Byte}{\unit{B}} \newcommand{\kByte}{\unit{KiB}} \newcommand{\MByte}{\unit{Mib}} \newcommand*{\GByte}{\unit{GiB}} \newcommand*{\TByte}{\unit{TiB}} \newcommand{\bits}{\unit{bit/s}} \newcommand{\kbits}{\unit{Kib/s}} \newcommand{\Mbits}{\unit{Mib/s}} \newcommand{\Bytes}{\unit{B/s}} \newcommand{\kBytes}{\unit{KiB/s}} \newcommand{\MBytes}{\unit{MiB/s}} \newcommand*{\GBytes}{\unit{GiB/s}} \newcommand*{\TBytes}{\unit{TiB/s}} \newcommand*{\chips}{\unit{chip/s}} \newcommand*{\kchips}{\unit{Ki\mkern2mu chip/s}} \newcommand*{\Mchips}{\unit{Mi\mkern2mu chip/s}} \newcommand*{\chipsubit}{\unit{chip/bit}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % simboli generali % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\finees}{\par\nobreak\makebox[\linewidth][r]{$\blacksquare$}} % fine esercizio \newlength{\Implspace} \Implspace=0.5cm \newcommand{\frecciadex}[1][0.5]{\hspace{#1\Implspace}\Longrightarrow \hspace{#1\Implspace}} % freccia di implicazione verso destra \newcommand{\frecciadown}{\begin{center}\LARGE\ensuremath{\Downarrow}\end{center}} % freccia di implicazione verso il basso \newcommand{\varianzarumore}{\ensuremath{\frac{N_0}{2}}} % varianza del rumore bianco \newcommand{\et@symbolbracearg}[2]{% \ensuremath{#1\mathopen{}\left\lbrace#2\right\rbrace\mathclose{}}} \newcommand{\fourier}[1]{\et@symbolbracearg{\mathcal{F}}{#1}} % traformata di Fourier di 1: \fourier[x(t)] \newcommand{\invfourier}[1]{\et@symbolbracearg{\mathcal{F}^{-1}}{#1}} % trasformata di Fourier inversa di 1: \invfourier[x(t)] \newcommand{\partereale}[1]{\et@symbolbracearg{\textbf{Re}}{#1}} % parte reale di 1: \partereale[\tilde{x}(t)] \newcommand{\parteimm}[1]{\et@symbolbracearg{\textbf{Im}}{#1}} % parte immaginaria di 1: \parteimm[\dot{x}(t)] \newcommand{\Info}[1]{\ensuremath{I\left(#1\right)}} % quantità di informazione dell'argomento 1 \newcommand{\versore}[1]{\ensuremath{\hat{#1}}} % versore di 1 \newcommand{\vettore}[1]{\ensuremath{\overrightarrow{#1}}} % vettore di 1 \newcommand{\coseno}[1]{\ensuremath{\cos\left(2\pi#1t\right)}} % coseno di frequenza indicata in 1: \coseno[f_0] \newcommand{\seno}[1]{\ensuremath{\sin\left(2\pi#1t\right)}} % seno di frequenza indicata in 1: \seno[f_0] \newcommand{\energia}[1]{\ensuremath{\mathcal{E}_{#1}}} % energia con pedice indicato in 1: energia media \energia[m] \newcommand{\moduloexp}[2]{\ensuremath{\left\vert#1\right\vert^{#2}}} % modulo di 1 con esponente 2: \moduloexp{x_1}{3} \newcommand{\modulo}[1]{\ensuremath{\left\vert#1\right\vert}} % modulo di 1: \modulo[x_1] \newcommand{\indB}[1]{% \ensuremath{\mathopen{}\left.#1\right\vert_{\mathrm{dB}}\mathclose{}}} % 1 espresso in dB, da usare in scrittura matematica: $\indB$ \newcommand{\for}[2]{\ensuremath{\left. #1 \right\vert_{#2}}} % 1 calcolato per 2 \newcommand{\massimo}[1]{\et@symbolbracearg{\max}{#1}} % massimo di 1: \massimo[\dot{x}(t)] \newcommand{\minimo}[1]{\et@symbolbracearg{\min}{#1}} % minimo di 1: \minimo[\dot{x}(t)] \newcommand{\valc}{3\cdot 10^8} % velocità della luce \newcommand{\loga}[2]{\ensuremath{\log_{#1}#2}} % logaritmo di base 1 e argomento 2 \newcommand{\analitic}[1]{\ensuremath{\mathring{#1}}} % segnale analitico di 1 oppure sorgente di campo \newcommand*{\diff}{\mathop{}\mathopen{\mathrm{d}}} % simbolo differenziale \newcommand{\intinf}[1]{\ensuremath{\int_{-\infty}^{+\infty}{#1}}} % integrale definito su tutto l'asse di 1 \newcommand{\deltain}[1]{\ensuremath{\delta\left(#1\right)}} % delta nel punto 1 \newcommand*{\iu}{\ensuremath{\mathrm{j}}} % unità immaginaria j; esempio: $\iu 2 \pi f$ \newcommand{\ex}[1]{\ensuremath{\textrm{e}^{#1}}} % esponenziale %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % gamma %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\gammatens}{\ensuremath{{}^{\mathrm{V}}\Gamma}} % gamma in tensione generico \newcommand{\gammacorr}{\ensuremath{{}^{\mathrm{I}}\Gamma}} % gamma in corrente generico \newcommand{\gammatensin}[1]{\ensuremath{{}^{\mathrm{V}}\Gamma_{\mathrm{#1}}}} % gamma in tensione calcolato in 1 \newcommand{\gammacorrin}[1]{\ensuremath{{}^{\mathrm{I}}\Gamma_{\mathrm{#1}}}} % gamma in corrente calcolato in 1 \newcommand{\gammain}[1]{\ensuremath{\Gamma_{\mathrm{#1}}}} % gamma in tensione senza apice calcolato in 1 \newcommand{\gammak}{\ensuremath{{}^{\mathrm{k}}\Gamma}} % gamma di kurokawa %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % lambda %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\lbvt}{\ensuremath{\lambda_0}} % lambda nel vuoto \newcommand{\lbg}{\ensuremath{\lambda_g}} % lambda guidata \newcommand{\lbgvt}{\ensuremath{\lambda_{g_0}}} % lambda guidata 0 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % potenza %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\potin}[1]{\ensuremath{P_{\mathrm{#1}}}} % potenza nel punto 1 \newcommand{\potdisp}[1][]{\ensuremath{P_{\mathrm{disp}}^{#1}}} % potenza disponibile \newcommand{\potCC}[1][]{\ensuremath{P_{\mathrm{CC}}^{#1}}} % potenza alimentazione (corrente continua) \newcommand{\potirr}[1][]{\ensuremath{P_{\mathrm{irr}}^{#1}}} % potenza irradiazione \newcommand{\potdiss}[1][]{\ensuremath{P_{\mathrm{diss}}^{#1}}} % potenza dissipata \newcommand{\potinc}[1][]{\ensuremath{P_{\mathrm{inc}}^{#1}}} % potenza incidente %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % impedenze e ammettenze %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\z}[1]{\ensuremath{Z_{\mathrm{#1}}}} % impedenza nel punto 1 \newcommand{\znorm}[1]{\ensuremath{z_{\mathrm{#1}}}} % impedenza normalizzata nel punto 1 \newcommand{\y}[1]{\ensuremath{Y_{\mathrm{#1}}}} % ammettenza nel punto 1 \newcommand{\ynorm}[1]{\ensuremath{y_{\mathrm{#1}}}} % ammettenza normalizzata nel punto 1 \newcommand{\zinf}[1][]{\ensuremath{Z_{\infty#1}}} % impedenza caratteristica generica \newcommand{\zinfn}[1]{\zinf[#1]} % impedenza caratteristica numerata con 1 \newcommand{\yinf}[1][]{\ensuremath{Y_{\infty#1}}} % ammettenza caratteristica generica \newcommand{\yinfn}[1]{\yinf[#1]} % ammettenza caratteristica numerata con 1 \newcommand{\zvt}{\ensuremath{Z_0}} % impedenza carattereristica del vuoto \newcommand{\yvt}{\ensuremath{Y_0}} % ammettenza carattereristica del vuoto %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % campo elettrico e magnetico %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\campoe}{\ensuremath{\underline{\mathcal{E}}(\underline{r},t)}} % campo elettrico in funzione di r e t \newcommand{\campoefas}{\ensuremath{\underline{E}(\underline{r})}} % fasore del campo elettrico in funzione di r \newcommand{\campoh}{\ensuremath{\underline{\mathcal{H}}(\underline{r},t)}} % campo magnetico in funzione di r e t \newcommand{\campohfas}{\ensuremath{\underline{H}(\underline{r})}} % fasore del campo magnetico in funzione di r %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % segnali %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand*{\signt}[1]{\ensuremath{\MakeLowercase{#1}(t)}} % dominio tempo \newcommand*{\signf}[1]{\ensuremath{\MakeUppercase{#1}(f)}} % dominio frequenze \newcommand*{\signn}[1]{\ensuremath{\MakeLowercase{#1}(n)}} % sequenze a tempo discreto \newcommand*{\signz}[1]{\ensuremath{\MakeUppercase{#1}(z)}} % dominio trasformata Z %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % probabilità %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand*{\prob}[1]{\ensuremath{\mathcal{P}\left(#1\right)}} % probabilità dell'argomento 1 \newcommand*{\valatt}[1]{\ensuremath{\mathbb{E}\left[#1\right]}} % valore atteso dell'argomento 1 \newcommand*{\var}[1]{\ensuremath{\mathrm{Var}\left[#1\right]}} % varianza dell'argomento 1 \newcommand*{\comma}{\,,\,} % simbolo probabilità congiunta; uso: \prob{X \virgola Y} \newcommand*{\dato}{\ensuremath{\,|\,}} % simbolo probabilità condizionata; uso: \prob{X \dato Y} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % English Alias %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \let\bfRe\partereale \let\bfIm\parteimm \let\noisevar\varianzarumore \let\exerend\finees \let\Spimplies\frecciadex \let\Downimplies\frecciadown \let\unitvec\versore \let\vector\vettore \let\cosine\coseno \let\sine\seno \let\energy\energia \let\Abs\modulo \let\AbsPow\moduloexp \let\Max\massimo \let\Min\minimo \let\clight\valc \let\Log\loga \let\analytic\analitic \let\infint\intinf \let\deltaimp\deltain \let\Vgamma\gammatens \let\Cgamma\gammacorr \let\Vgammain\gammatensin \let\Cgammain\gammacorrin \let\Kgamma\gammak \let\powerin\potin \let\availpow\potdisp \let\irrpow\potirr \let\disspow\potdiss \let\incpow\potinc \let\potalim\potCC \let\potDC\potCC \renewcommand{\potDC}[1][]{\ensuremath{P_{\mathrm{DC}}^{#1}}} \let\Efield\campoe \let\Hfield\campoh \let\phasorEfield\campoefas \let\phasorHfiled\campohfas \let\given\dato \let\expval\valatt \let\rmexp\ex \endinput