SISO vs MIMO: Understanding SISO, SIMO, MISO and MIMO Systems

MIMO, SIMO, MISO, and SISO systems

SISO vs MIMO is the choice between one antenna at each end of a radio link and several. SISO, SIMO, MISO and MIMO are the four antenna configurations of wireless communication, named by how many antennas feed the channel (input) and how many collect from it (output). Only MIMO can carry parallel data streams, while SIMO and MISO use their extra antennas to raise SNR and reduce fading.

This page compares all four on the same terms, with the same transmit power and the same channel statistics, to help with choosing one. If the choice is only between two of them, SIMO vs MIMO goes further into that pair. The underlying theory is in MIMO and multiple antenna systems.

SISO, SIMO, MISO and MIMO at a glance

The “input” is the input to the channel, which is the transmitter, and the “output” is the receiver. A 2×1 link therefore has two transmit antennas and one receive antenna.

Block diagrams of SISO, SIMO, MISO and MIMO antenna systems with their channel paths
Figure 1: The four antenna configurations in their smallest forms (schematic).
SystemAntennas (Tx × Rx)What the extra antennas doWho needs CSITypical use
SISO1×1Nothing, there are noneReceiver onlyLow-cost IoT radios, FM and many broadcast links
SIMO1×NrReceive diversity and array gainReceiverUplink from a single-transmitter device
MISONt×1Transmit diversity, or beamforming with CSITransmitter, for beamformingDownlink to a single-antenna device
MIMONt×NrParallel streams, diversity and beamformingReceiver, plus transmitter if precodedWi-Fi, LTE and 5G

What is a SISO antenna system?

A SISO antenna system has one antenna at the transmitter and one at the receiver, with a single RF chain at each end. The channel is one complex number h, so capacity is:

C = log2(1 + ρ |h|2) b/s/Hz

SISO (single-input, single-output) is the simplest and cheapest radio. It has no array gain and no spatial diversity, so its only defences against a multipath fade are frequency diversity, time diversity through coding, and link budget margin. A SISO antenna can still be directive: a dish on a point-to-point link is a single antenna port, and it counts as SISO however high its gain.

SIMO: several antennas at the receiver

SIMO (single-input, multiple-output) keeps one transmitter and adds receive chains. Combining the branches gives an array gain of 10 log10(Nr) dB and a diversity order of Nr. No channel knowledge is needed at the transmitter, which makes SIMO a good fit for small, battery-powered transmitters talking to a capable receiver.

MISO: several antennas at the transmitter

MISO (multiple-input, single-output) is where channel knowledge matters most. Two cases need separating:

  • Without transmit CSI, the transmitter splits its power and uses a space-time code such as Alamouti. It gains transmit diversity but no array gain.
  • With transmit CSI, it pre-rotates each antenna’s phase so that the signals add in phase at the receiver. This gives both array gain and diversity, and matches SIMO exactly. Beamforming in MIMO systems explains how.

MIMO: several antennas at both ends

MIMO (multiple-input, multiple-output) has a channel matrix instead of a vector, so it can support up to min(Nt, Nr) streams. It is the only one of the four whose capacity grows linearly with antenna count at high SNR, provided the paths are sufficiently different.

SISO vs MIMO: worked comparison at 10 dB SNR

The table compares the smallest examples of each type in i.i.d. Rayleigh fading. Mean receive SNR per antenna is 10 dB, total transmit power is the same in every row, and rates use 20 MHz of bandwidth. Results are from one million random channels. Ergodic capacity is the long-term average, and 1% outage capacity is the rate the channel can support 99% of the time.

SystemErgodic capacityRate in 20 MHz1% outage capacityRate in 20 MHz
SISO 1×12.91 b/s/Hz58 Mb/s0.14 b/s/Hz2.8 Mb/s
MISO 2×1, no CSI3.16 b/s/Hz63 Mb/s0.80 b/s/Hz16 Mb/s
SIMO 1×24.06 b/s/Hz81 Mb/s1.31 b/s/Hz26 Mb/s
MISO 2×1, with CSI4.06 b/s/Hz81 Mb/s1.31 b/s/Hz26 Mb/s
MIMO 2×2, no CSI5.55 b/s/Hz111 Mb/s2.67 b/s/Hz53 Mb/s
Bar chart of ergodic and 1% outage capacity for SISO, MISO, SIMO and MIMO at 10 dB SNR
Figure 2: Ergodic and 1% outage capacity of the four systems at 10 dB mean SNR, for equal total transmit power.

Two points stand out. Average capacity understates what extra antennas do, since going from SISO to 2×2 raises the average by a factor of 1.9 but raises the 1% outage rate by a factor of about 19. Also, the gap between the two MISO rows is the value of transmit CSI: 0.9 b/s/Hz on average, equal to about 3 dB of array gain at this SNR.

Capacity distribution curves for SISO, MISO, SIMO and MIMO links at 10 dB mean SNR in Rayleigh fading
Figure 3: Cumulative distribution of capacity at 10 dB mean SNR. The steeper curves show less fading. The dotted line marks 1% outage.

What each configuration does for range

Designers often want range, not rate. Suppose a link needs 2 b/s/Hz with 1% outage. The table gives the mean SNR required, the saving against SISO, and the range multiple if that saving is spent on distance with a path loss exponent of 3.5.

SystemMean SNR for 1% outage at 2 b/s/HzSaving against SISORange multiple
SISO 1×124.8 dBNone1.00
MISO 2×1, no CSI16.1 dB8.7 dB1.77
SIMO 1×213.1 dB11.7 dB2.16
MISO 2×1, with CSI13.1 dB11.7 dB2.16
MIMO 2×2, no CSI7.8 dB16.9 dB3.05

The SISO figure can be checked by hand: x = (22 – 1)/ρ and outage is 1 – e-x, so 1% outage needs ρ = 3/0.01005, which is 24.75 dB. These savings are large because a 1% outage target is dominated by deep fades. On a link with a strong line-of-sight path there are fewer deep fades, and the savings shrink toward the array gain alone. They also assume uncorrelated antennas, and the correlation penalty is shown in SIMO vs MIMO.

Hardware cost of each configuration

Each row of the comparison has a hardware price, and the cost is not symmetrical.

SystemRF chains (Tx + Rx)Main added hardwareAdded digital work
SISO 1×11 + 1NoneEqualisation only
SIMO 1×21 + 2LNA, downconverter, ADCChannel estimate per antenna, combining
MISO 2×12 + 1PA, upconverter, DACSpace-time coding or precoding
MIMO 2×22 + 2Both of the aboveStream separation, rank adaptation

The transmit chain is usually the expensive one, because a PA often dominates DC power. That is why battery-powered devices commonly transmit on fewer antennas than they receive on. Receive chains cost less power, but each one adds its own noise figure, and a MIMO receiver needs matched LO distribution to its chains.

How to choose between SISO, SIMO, MISO and MIMO

  • Cost and power come first, and the channel is benign: SISO. A line-of-sight link or a low-rate IoT link may not need more.
  • The transmitter is small and the receiver is capable: SIMO. This suits uplinks.
  • The receiver is small and the transmitter is capable: MISO, with CSI if it can be obtained. This suits downlinks to simple devices.
  • Rate is the goal and the channel is rich in multipath: MIMO, with spatial multiplexing at high SNR and precoding when CSI is available.

Frequently asked questions

What is the difference between SISO and MIMO?

SISO uses one antenna at each end and one stream. MIMO uses several at each end and can send up to min(Nt, Nr) streams. In the 10 dB example, 2×2 MIMO reaches 5.55 b/s/Hz against 2.91 b/s/Hz for SISO, with far fewer deep fades.

Is MISO the same as SIMO?

They mirror each other. With CSI at the transmitter, a MISO link has the same capacity as the reversed SIMO link. Without it, MISO loses the array gain, which is why it scored 3.16 b/s/Hz in the table against 4.06 b/s/Hz for SIMO.

Is Wi-Fi SISO or MIMO?

Most modern Wi-Fi access points and laptops are MIMO, commonly 2×2 or larger. Low-cost IoT Wi-Fi chips are often 1×1, which is SISO. Wi-Fi rate tables are therefore commonly quoted by the number of spatial streams.

Do SISO and MIMO mean the same in control systems?

The terms are used in the same sense but apply to a different subject. In control theory, SISO and MIMO describe how many inputs and outputs a plant has, such as actuators and sensors. The matrix mathematics is similar, but antennas and radio channels are not involved.

Related topics

Continue with MIMO and multiple antenna systems for the theory, SIMO vs MIMO for the two-way comparison and channel state information for how transmitters learn the channel. MIMO, Beamforming and Phased-Array Architectures covers the hardware, and the antennas hub has more on antenna design.

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