Glossary term · Physical Layer

PMI

Precoding Matrix Indicator

Physical Layer →

PMI is a feedback index reported by a user device to the base station to indicate its preferred precoding matrix for optimizing downlink MIMO transmissions.

Introduced
Rel-8
Specifications
15 specs
Category
Physical Layer
Introduced
Rel-8
Specifications
15 specs
PMI Description Purpose Related Classification Detected Changes Specifications

Description

The Precoding Matrix Indicator (PMI) is a key feedback mechanism in the Multiple-Input Multiple-Output (MIMO) physical layer of 3GPP LTE and NR systems. It is part of the Channel State Information (CSI) reported by the User Equipment (UE) to the gNodeB (gNB). The UE, after measuring downlink reference signals (e.g., CSI-RS), calculates the optimal or preferred precoding matrix from a predefined codebook. This matrix is a set of complex weights applied to the antenna ports to shape the transmitted signal, effectively performing beamforming. The UE then sends the index (the PMI) corresponding to this matrix in the codebook back to the gNB via uplink control channels (PUCCH) or shared channels (PUSCH).

The gNB uses the reported PMI, along with other CSI like Rank Indicator (RI) and Channel Quality Indicator (CQI), to select the precoding matrix for subsequent downlink transmissions to that UE. This process adapts the transmission to the current channel state, focusing energy towards the UE and minimizing interference, which is essential for spatial multiplexing gains. The codebook design is standardized (different for LTE and NR) and defines a set of possible precoding matrices for various antenna configurations (e.g., 2, 4, 8 antenna ports) and transmission ranks.

PMI reporting can be wideband (a single PMI for the entire system bandwidth) or subband (different PMIs for different portions of the bandwidth), offering a trade-off between feedback overhead and granularity of channel adaptation. In advanced MIMO modes like multi-user MIMO (MU-MIMO), the gNB may use PMI reports from multiple UEs to schedule simultaneous transmissions with minimal inter-user interference. The accuracy and timeliness of PMI feedback directly impact the spectral efficiency and reliability of the downlink.

Purpose & Motivation

PMI was introduced to enable efficient closed-loop spatial multiplexing in MIMO systems, starting with LTE Release 8. Before such feedback mechanisms, MIMO primarily used open-loop techniques like spatial diversity, which were robust but did not maximize throughput by adapting to channel conditions. The fundamental problem is that the gNB lacks perfect knowledge of the downlink channel to each UE, which is necessary for optimal precoding.

The PMI solves this by leveraging the UE's ability to measure the channel and recommend a precoding strategy. This allows the network to perform channel-dependent precoding (beamforming), which significantly increases signal strength at the intended UE and reduces interference to others. It was motivated by the need to boost cell capacity and user data rates to meet the growing demands of mobile broadband.

Over successive releases, PMI feedback has evolved to support increasingly complex antenna arrays (massive MIMO), higher frequency bands, and new use cases. Enhancements like enhanced CSI feedback (eCSI) and Type II PMI (with higher resolution) in NR were driven by the requirements for more precise beamforming in mmWave frequencies and for advanced multi-user MIMO schemes, pushing the limits of spectral efficiency in 5G and beyond.

Classification

Part ofMIMO
Related approachesCQI

Detected Changes Across Releases

from 3GPP Change Requests

Specific changes extracted from the „Change history“ tables of 3GPP specifications (10 CRs across 4 releases). Complements the general historical overview above with the evidence-based evolution of this function.

Rel-16 1 change
  • Clarify UCI bitwidth and UCI mapping order for non-PMI based CSI feedback TS 38.212CR0080
Rel-17 2 changes
  • Addition of applicability for new type II PMI repoering test cases TS 38.522CR0116
  • CR on PMI indexing correction in Type II and eType II CSI TS 38.214CR0250
Rel-18 1 change
  • Correction to test applicability of PMI test cases with 16Tx or 32Tx of CSI-RS TS 38.522CR0600
Rel-19 6 changes
  • Correction to applicable release of 16Tx or 32Tx PMI reporting TS 38.522CR0648
  • Introduction of Applicabilities for eRedCap PMI test cases TS 38.522CR0626
  • Confirmation of Applicability for PMI test cases TS 38.522CR0627
  • Addition of applicability for 2Rx FDD FR1 Multiple PMI with 16TX Enhanced Type II codebook for predicted PMI TS 38.522CR0663
  • Applicability update for adding AIML CSI prediction PMI test cases with inference TS 38.522CR0777
  • (NR_perf_enh-Perf) Correction on release independent rules for PMI and CA test requirements (R19 A) TS 38.307CR0191

Explore further

Broader topics and technologies where PMI plays a role.

Defining Specifications

3GPP specifications that define or reference PMI, with the latest known release. Sourced from the 3GPP document catalog — see methodology.

SpecificationTitleRelease
TR 21.905 vj20 3GPP Terminology and Definitions Rel-19
TS 32.808 v1800 Common User Profile Storage Framework Rel-8
TS 36.212 vj30 E-UTRA Physical Layer Procedures Rel-19
TS 36.213 vj40 Evolved Universal Terrestrial Radio Access (E-UTRA) Physical Layer Procedures Rel-19
TS 36.321 vj30 E-UTRA MAC Protocol Specification Rel-19
TS 36.747 ve00 Enhanced CRS and SU-MIMO IM Performance Requirements Rel-14
TS 36.863 vc00 CRS Interference Mitigation for Homogeneous Networks Rel-12
TS 36.867 vd00 LTE DL 4 Rx Antenna Port Study TR Rel-13
TS 38.212 vj40 NR Multiplexing and Channel Coding Rel-19
TS 38.214 vj40 NR Physical Layer Data Channel Procedures Rel-19
TS 38.307 vk00 3GPP TS 38307 vk00: Release Independent Features for NR UEs Rel-20
TS 38.522 vj40 3GPP TS 38522 vj40: UE Conformance Test Applicability Rel-19
TS 38.762 vj10 NR FR1 MIMO OTA Dynamic Test Methodology Rel-19
TR 38.889 vg00 NR-based access to unlicensed spectrum study Rel-16
TR 38.912 vj00 Study on New Radio Access Technology Rel-19