Types/Methods/Functions
Index
LTVsystems.LTIreceiverDTI
LTVsystems.LTIreceiverO
LTVsystems.LTIsourceDTI
LTVsystems.LTIsourceO
LTVsystems.LTVreceiverO
LTVsystems.LTVsourceO
LTVsystems.STATreceiverD
LTVsystems.STATsourceD
LTVsystems.pointReflector
Public Interface
LTVsystems.LTIreceiverDTI
โ Typez = LTIreceiverDTI([r],๐ฉแตฃ,๐,G)
z = LTIreceiverDTI(r,๐ฉแตฃ,๐,G)
Create an LTI Omnidirectional Receiver by calling LTIreceiverDTI()
with a vector of single reflection, r
, provided by calling pointReflector()
, the receiver position, $\mathsf{p}_\mathrm{r}$ , a time-invariant beam center, $\bm{b}_\mathrm{r}$ and the source antenna's gain, $\mathrm{G}_\mathrm{r}(\Theta)$ relative to beam center $\bm{b}_\mathrm{r}$.
Examples
using LTVsystems
๐ฉโ = [0.0, 0.0]
๐ฉแตฃ = ๐ฉโ
tโ = 1.0e-06
p(t) = ฮดn(t-tโ,1.0e-07)
๐ = [1.0,0.0]
G(ฮธ) = ๐ฉแตค(ฮธ, ฮผ=0.0, ฯ=ฯ/8)
q = LTIsourceDTI(๐ฉโ, p, ๐, G)
ฮฑ = -0.7; ๐ = [3.75e-06c,0.0]
r = pointReflector(๐,ฮฑ,q)
z = LTIreceiverDTI([r],๐ฉแตฃ,๐,G)
In order to observe the multiple reflection, we create an LTI Omnidirectional Receiver by calling LTIreceiverDTI()
with the observed multiple reflection, r
, provided by calling pointReflector()
, the receiver position, $\mathsf{p}_\mathrm{r}$, a time-invariant beam center, $\bm{b}_\mathrm{r}$ and the source antenna's gain, $\mathrm{G}_\mathrm{r}(\Theta)$ relative to beam center $\bm{b}_\mathrm{r}$.
Examples
using LTVsystems
๐ฉโ = [0.0, 0.0]
๐ฉแตฃ = ๐ฉโ
tโ = 1.0e-06
p(t) = ฮดn(t-tโ,1.0e-07)
๐ = [1.0,0.0]
G(ฮธ) = ๐ฉแตค(ฮธ, ฮผ=0.0, ฯ=ฯ/8)
q = LTIsourceDTI(๐ฉโ, p, ๐, G)
ฮฑโ = -0.7; ๐โ = [3.75e-06c,0.0]
ฮฑโ = -0.7; ๐โ = [1.5e-06c,0.0]
ฮฑโ = -0.7; ๐โ = [2.5e-06c,0.0]
r = pointReflector([๐โ,๐โ,๐โ],[ฮฑโ,ฮฑโ,ฮฑโ],[q])
z = LTIreceiverDTI(r,๐ฉแตฃ,๐,G)
LTVsystems.LTIreceiverO
โ Typez = LTIreceiverO([r],๐ฉแตฃ)
z = LTIreceiverO(r,๐ฉแตฃ)
Create an LTI Omnidirectional Receiver by calling LTIreceiverO()
with a vector of single reflection, r
, provided by calling pointReflector()
, and the receiver position, $\mathsf{p}_\mathrm{r}$.
Examples
using LTVsystems
๐ฉโ = [0.0, 0.0]
๐ฉแตฃ = ๐ฉโ
tโ = 1.0e-06
p(t) = ฮดn(t-tโ,1.0e-07)
q = LTIsourceO(๐ฉโ, p)
ฮฑ = -0.7; ๐ = [3.75e-06c,0.0]
r = pointReflector(๐,ฮฑ,q)
z = LTIreceiverO([r],๐ฉแตฃ)
In order to observe the multiple reflections, we create an LTI Omnidirectional Receiver by calling LTIreceiverO()
with the observed multiple reflection, r
, provided by calling pointReflector()
and the receiver position, $\mathsf{p}_\mathrm{r}$.
Examples
using LTVsystems
๐ฉโ = [0.0, 0.0]
๐ฉแตฃ = ๐ฉโ
tโ = 1.0e-06
p(t) = ฮดn(t-tโ,1.0e-07)
q = LTIsourceO(๐ฉโ, p)
ฮฑโ = -0.7; ๐โ = [3.75e-06c,0.0]
ฮฑโ = -0.7; ๐โ = [1.5e-06c,0.0]
ฮฑโ = -0.7; ๐โ = [2.5e-06c,0.0]
r = pointReflector([๐โ,๐โ,๐โ],[ฮฑโ,ฮฑโ,ฮฑโ],[q])
z = LTIreceiverO(r,๐ฉแตฃ)
LTVsystems.LTIsourceDTI
โ Typeq = LTIsourceDTI(๐ฉโ, p)
Create an LTI Directional Source by calling LTIsourceDTI()
with the source position, $\mathsf{p}_\mathrm{s}$ ,a transmitted signal, $\mathsf{p}(t)$, time-invariant beam center, $\bm{b}_\mathrm{s}$ and the source antenna's gain, $\mathrm{G}_\mathrm{s}(\Theta)$ relative to beam center $\bm{b}_\mathrm{s}.$
Examples
using LTVsystems
๐ฉโ = [0.0, 0.0]
tโ = 1.0e-06
p(t) = ฮดn(t-tโ,1.0e-07)
๐ = [1.0,0.0]
G(ฮธ) = ๐ฉแตค(ฮธ, ฮผ=0.0, ฯ=ฯ/8)
q = LTIsourceDTI(๐ฉโ, p, ๐, G)
LTVsystems.LTIsourceO
โ Typeq = LTIsourceO(๐ฉโ, p)
Create an LTI Omnidirectional Source by calling LTIsourceO()
with the source position, $\mathsf{p}_\mathrm{s}$ and the transmisson signal, $\mathsf{p}(t)$.
Examples
using LTVsystems
๐ฉโ = [0.0, 0.0]
tโ = 1.0e-06
p(t) = ฮดn(t-tโ,1.0e-07)
q = LTIsourceO(๐ฉโ, p)
LTVsystems.LTVreceiverO
โ Typez = LTVreceiverO([r],๐ฉแตฃ)
z = LTVreceiverO(r,๐ฉแตฃ)
Create an LTV Omnidirectional Receiver by calling LTVreceiverO()
with a vector of single reflection, r
, provided by calling pointReflector()
, and a time-varying receiver position, $\mathsf{p}_\mathrm{r}(t)$.
Examples
using LTVsystems
๐ฉโ = [0.0, 0.0]
๐ฉแตฃ = ๐ฉโ
tโ = 1.0e-06
p(t) = ฮดn(t-tโ,1.0e-07)
q = LTVsourceO(๐ฉโ, p)
ฮฑ = -0.7; ๐ = [3.75e-06c,0.0]
r = pointReflector(๐,ฮฑ,q)
z = LTVreceiverO([r],๐ฉแตฃ)
In order to observe the multiple reflections, we create an LTV Omnidirectional Receiver by calling LTVreceiverO()
with the observed multiple reflection, r
, provided by calling pointReflector()
and a time-varying receiver position, $\mathsf{p}_\mathrm{r}(t)$.
Examples
using LTVsystems
๐ฉโ = [0.0, 0.0]
๐ฉแตฃ = ๐ฉโ
tโ = 1.0e-06
p(t) = ฮดn(t-tโ,1.0e-07)
q = LTVsourceO(๐ฉโ, p)
ฮฑโ = -0.7; ๐โ = [3.75e-06c,0.0]
ฮฑโ = -0.7; ๐โ = [1.5e-06c,0.0]
ฮฑโ = -0.7; ๐โ = [2.5e-06c,0.0]
r = pointReflector([๐โ,๐โ,๐โ],[ฮฑโ,ฮฑโ,ฮฑโ],[q])
z = LTVreceiverO(r,๐ฉแตฃ)
LTVsystems.LTVsourceO
โ Typeq = LTVsourceO(๐ฉโ, p)
Create an LTV Omnidirectional Source by calling LTVsourceO()
with time-varying source position, $\mathsf{p}_\mathrm{s}(t)$ and the transmisson signal, $\mathsf{p}(t)$.
Examples
using LTVsystems
๐ฉโ = [0.0, 0.0]
tโ = 1.0e-06
p(t) = ฮดn(t-tโ,1.0e-07)
q = LTVsourceO(๐ฉโ, p)
LTVsystems.STATreceiverD
โ Typez = STATreceiverD([r],๐ฉแตฃ,๐,G)
z = STATreceiverD(r,๐ฉแตฃ,๐,G)
Create an LTI Omnidirectional Receiver by calling STATreceiverD()
with a vector of single reflection, r
, provided by calling pointReflector()
, the receiver position, $\mathsf{p}_\mathrm{r}$ , a time-varying (rotating) beam center, $\bm{b}_\mathrm{r}(t)$ and the source antenna's gain, $\mathrm{G}_\mathrm{r}(\Theta)$ relative to beam center $\bm{b}_\mathrm{r}(t)$.
Examples
using LTVsystems
๐ฉโ = [0.0, 0.0]
๐ฉแตฃ = ๐ฉโ
tโ = 1.0e-06
p(t) = ฮดn(t-tโ,1.0e-07)
๐(t) = [cos(2ฯ*10*t),0.0]/(norm(cos(2ฯ*10*t)))
G(ฮธ) = ๐ฉแตค(ฮธ, ฮผ=0.0, ฯ=ฯ/8)
q = STATsourceD(๐ฉโ, p, ๐, G)
ฮฑ = -0.7; ๐ = [3.75e-06c,0.0]
r = pointReflector(๐,ฮฑ,q)
z = STATreceiverD([r],๐ฉแตฃ,๐,G)
In order to observe the multiple reflections, we create an LTI Omnidirectional Receiver by calling STATreceiverD()
with the observed multiple reflection, r
, provided by calling pointReflector()
, the receiver position, $\mathsf{p}_\mathrm{r}$, a time-varying (rotating) beam center, $\bm{b}_\mathrm{r}(t)$ and the source antenna's gain, $\mathrm{G}_\mathrm{r}(\Theta)$ relative to beam center $\bm{b}_\mathrm{r}(t)$.
Examples
using LTVsystems
๐ฉโ = [0.0, 0.0]
๐ฉแตฃ = ๐ฉโ
tโ = 1.0e-06
p(t) = ฮดn(t-tโ,1.0e-07)
๐(t) = [cos(2ฯ*10*t),0.0]/(norm(cos(2ฯ*10*t)))
G(ฮธ) = ๐ฉแตค(ฮธ, ฮผ=0.0, ฯ=ฯ/8)
q = STATsourceD(๐ฉโ, p, ๐, G)
ฮฑโ = -0.7; ๐โ = [3.75e-06c,0.0]
ฮฑโ = -0.7; ๐โ = [1.5e-06c,0.0]
ฮฑโ = -0.7; ๐โ = [2.5e-06c,0.0]
r = pointReflector([๐โ,๐โ,๐โ],[ฮฑโ,ฮฑโ,ฮฑโ],[q])
z = STATreceiverD(r,๐ฉแตฃ,๐,G)
LTVsystems.STATsourceD
โ Typeq = STATsourceD(๐ฉโ, p)
Create a Stationary Directional Source by calling STATsourceD()
with the source position, $\mathsf{p}_\mathrm{s}$ ,a transmitted signal, $\mathsf{p}(t)$, time-varying (rotating) beam center, $\bm{b}_\mathrm{s}(t)$ and the source antenna's gain, $\mathrm{G}_\mathrm{s}(\Theta)$ relative to beam center $\bm{b}_\mathrm{s}(t).$
Examples
using LTVsystems
๐ฉโ = [0.0, 0.0]
tโ = 1.0e-06
p(t) = ฮดn(t-tโ,1.0e-07)
๐(t) = [cos(2ฯ*10*t),0.0]/(norm(cos(2ฯ*10*t)))
G(ฮธ) = ๐ฉแตค(ฮธ, ฮผ=0.0, ฯ=ฯ/8)
q = STATsourceD(๐ฉโ, p, ๐, G)
LTVsystems.pointReflector
โ Typer = pointReflector(๐,ฮฑ,q)
r = pointReflector([๐โ,๐โ,๐โ],[ฮฑโ,ฮฑโ,ฮฑโ],[q])
Create an LTI Omnidirectional Reflection by calling pointReflector()
with a single ideal point reflector, $\bm{\xi}$, a reflection coefficient, $\mathsf{\alpha}$ and the source observation, $\mathsf{q}$.
Examples
using LTVsystems
๐ฉโ = [0.0, 0.0]
๐ฉแตฃ = ๐ฉโ
tโ = 1.0e-06
p(t) = ฮดn(t-tโ,1.0e-07)
q = LTIsourceO(๐ฉโ, p)
ฮฑ = -0.7; ๐ = [3.75e-06c,0.0]
r = pointReflector(๐,ฮฑ,q)
In case of multiple ideal point reflector, we create an LTI Omnidirectional Reflection by calling pointReflector()
with a vector of multiple ideal point reflector, $\bm{\xi}_0,\bm{\xi}_1\ldots,\bm{\xi}_n$, corresponding reflection coefficients, $\mathsf{\alpha}_0,\mathsf{\alpha}_1,\ldots,\mathsf{\alpha}_n$ and a vector of source observation, $\mathsf{q}$.
Examples
using LTVsystems
๐ฉโ = [0.0, 0.0]
๐ฉแตฃ = ๐ฉโ
tโ = 1.0e-06
p(t) = ฮดn(t-tโ,1.0e-07)
q = LTIsourceO(๐ฉโ, p)
ฮฑโ = -0.7; ๐โ = [3.75e-06c,0.0]
ฮฑโ = -0.7; ๐โ = [1.5e-06c,0.0]
ฮฑโ = -0.7; ๐โ = [2.5e-06c,0.0]
r = pointReflector([๐โ,๐โ,๐โ],[ฮฑโ,ฮฑโ,ฮฑโ],[q])