clear?all;
N=20?;%?number?of?multipath?arrivals
a=rand（1N）;?%amplitude
tau=rand（1N）;?%arrival?time
f_d=1
shift=rand（1N）*2*f_d-f_d;?%Doppler?shifts
f=10;?%?the?frequency?of?the?transmitted?time?harmonic?signal
f_shift=f+shift;
t=[22:0.01:25];
%?No?Doppler?shift
s_t=exp（j*2*pi*f*t）;?%transmitted?signal
y_t=sum（a.*exp（-j*2*pi*f*tau））*exp（j*2*pi*f*t）;?%received?signal
%?Doppler?shift
n=1;
y_d_t=sum（a（n）*exp（-j*2*pi*f*tau（n）））*exp（j*2*pi*（f_shift（n））*t）;
for?n=2:N
y_d_t=y_d_t+a（n）*exp（-j*2*pi*f*tau（n））*exp（j*2*pi*（f_shift（n））*t）;?%received?signal
end
figure?（1）
subplot（223）
stem（f_shifta）
xlabel（‘frequency?Hz‘）
ylabel（‘ray?amplitude‘）
title（‘Doppler?Shifts‘）
subplot（222）
plot（ty_t‘r‘）
title（‘no?Doppler?shift‘）
ylabel（‘received?signal‘）
xlabel（‘time?sec‘）

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????文件????????1004??2020-12-01?12:57??╨┼╡└─ú╨═\doppler_or_no.asv
?????文件????????1004??2020-12-01?12:57??╨┼╡└─ú╨═\doppler_or_no.m
?????文件????????1970??2020-12-01?12:57??╨┼╡└─ú╨═\Doppler_shifts.m
?????文件????????1429??2020-12-01?12:57??╨┼╡└─ú╨═\four_case_doppler.m
?????文件????????1440??2020-12-01?12:57??╨┼╡└─ú╨═\four_case_doppler_v2.m
?????文件?????????542??2020-12-01?12:57??╨┼╡└─ú╨═\frequency_dependent_multipath_fading.m
?????文件????????1607??2020-12-01?12:57??╨┼╡└─ú╨═\Frequency_Domain_View.m
?????文件????????1886??2020-12-01?12:57??╨┼╡└─ú╨═\multipath_chann.m
?????文件????????1758??2020-12-01?12:57??╨┼╡└─ú╨═\rayleighnew.m
?????文件????????1292??2020-12-01?12:57??╨┼╡└─ú╨═\selec_rayleigh_test.m
?????文件?????????831??2020-12-01?12:57??╨┼╡└─ú╨═\time_Domain_View.asv
?????文件?????????927??2020-12-01?12:57??╨┼╡└─ú╨═\time_Domain_View.m
?????文件?????????835??2020-12-01?12:57??╨┼╡└─ú╨═\two_doppler_spead.asv
?????文件?????????835??2020-12-01?12:57??╨┼╡└─ú╨═\two_doppler_spead.m
?????文件?????????335??2020-12-01?12:57??╨┼╡└─ú╨═\two_ray_model.m
?????文件?????????625??2020-12-01?12:57??╨┼╡└─ú╨═\two_ray_model_four_distances.m