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Multipath Nonfading Channel for Linear Antenna Array (MNCHLAA)

Multipath Nonfading Channel for Linear Antenna Array (MNCHLAA)

Property	Description	Units	Default	Range/Type
L	Number of paths	None	3	[1, 12]/Integer
J	Number of antennas	None	2	[1, 16]/Integer
C	Antenna array spacing	Meter	0.1	(0, Inf)/Real
D1	Delay of first path (samples)	None	0	[0, Inf)/Integer
GAIN1	Magnitude of the complex gain factor for first path	None	1	[0, Inf)/Real
PHASE1	Phase of the complex gain factor for first path	Deg	0	[-180, 180)/Real
A1	DOA of first path	Deg	0	[-180, 180)/Real
D2~D12	Delay of nth path (samples)	None	0	[0, Inf)/Integer
GAIN2 ~GAIN12	Magnitude of the complex gain factor of all other paths	None	0	[0, Inf)/Real
PHASE2 ~PHASE12	Phase of the complex gain factor for all other paths	Deg	0	[-180, 180)/Real
A2~A12	DOA of all other paths	Deg	0	[-180, 180)/Real
RIN	Input impedance	Ohm	Inf	(0, Inf]/Real
ROUT	Output impedance	Ohm	0	[0, Inf)/Real
Ports
Input	Input signal in complex envelope format (complex)
Output	Multipath nonfading signal, in complex envelope format, for all antennas (complex)

Notes

1. This model can be used to simulate a Multipath Nonfading Channel and then generate the signal at each antenna when Linear Antenna Array is used in the receiver.

2. Representing the RF channel as a time-variant channel and using a base-band complex envelope representation, the channel gain factor is specified by:

(1)
where L is the number of paths, Gain and Phase are magnitude and phase of the complex gain for the ith path, t_i => 0 is the channel delay which can be expressed by D_i samples.

3. The above does not consider linear antenna array. A uniformly spaced linear antenna array with J elements^[1][2] is considered, as shown in Fig.1.
Fig. 1 Block diagram of Linear Antenna Array

Assuming a signal with wavelength λ arrives at the linear antenna array from a direction, which is called direction of arrival (DOA) q_i, and taking the first element in the array as phase reference, the relative phase shift of the received signal at the nth element can be expressed as

(2)
where C is the array spacing. The vector channel impulse response for the J elements can be expressed as

(3)
where b(q_i)s the array response vector, which is given by

(4)
where [ ]^T denotes the matrix transpose.

4. Note that J samples are outputted successively for each input sample.

Netlist Form

MNCHLAA:NAME n1 n2 L=val J=val C=val D1=val Gain1=val Phase1=val A1=val + [D2=val . . . A12=val] [RIN=val] [ROUT=val]

Netlist Example

MNCHLAA:1 1 2 L=2 J =2 C = 0.17 D1 = 0 Gain1 = 1.0 Phase1 = 0DEG A1 = 0DEG D2 = 150 + Gain2 = 0.1 Phase2 = 0DEG A2 = 10DEG

References

1. S. C. Swales, M. A. Beach, et al, “The performance enhancement of multibeam adaptive base-station antennas for cellular land mobile radio systems,” IEEE Trans. Veh. Technol., vol. 39, pp. 56–67, Feb. 1990.

2. S. Tanaka, A. Harada, et al, “Experiments on coherent adaptive antenna array diversity for wideband DS-CDMA mobile radio,” IEEE Journal on Selected Areas in Communications, vol. 18, No.8, pp.1495-1504, Aug. 2000.

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