True. But that was achieved through a combination of narrower search beams and improved signal processing.
Modern radars have particularly high resolution in range (fraction of a meter) which is a function of their operating bandwidth or pulse length. Using advanced mono pulse tracking and super resolution techniques they can limit the angular measurement error to less than 1% of their beam width. This allows the main search radar to create a detailed 3D image of the target cluster, discriminate the correct target from decoys and instruct a SARH or IR seeking missile to home to it.
Should change the wording to 'fire control' from 'search'.
Search radars are mainly optimized for range, volume and low observability. Think of radar like paint tools. The search radar is the large paint roller that you do to do vast sweeps of the wall. But if you want to paint a beautiful artwork or graffiti on it, you are going to need brushes of different sizes for finer, higher resolution work. That's the fire control radar. Compared to the SR, the FCR is optimized for fine tracking, angular resolution and target discrimination. The SR works from lower frequencies, which can be VHF, UHF, L-band, but S-band being the most popular. FCR works with higher frequencies, starting with C band, X-band being the most popular, and K-bands for CIWS. The longer the frequency, the greater the range, the shorter the frequency the higher the resolution.
So a modern ship should come with a battery of radars, like a painting artist with an array of tools of different sizes. So if you take a Type 052D, you can breakdown all its radars as follows, along with purpose, starting with the lowest to the highest frequencies.
Type 517A/520 "Knife Rest" or "Fly Swatter" --- VHF radar, broad long range search, VLO detection.
Type 346A "Dragon's Eye" --- S band, long range search, HHQ-9 fire control.
Type 364 "Sea Gull" --- C band, surface search radar, low flying threat detection and tracking. Queues short range defenses.
Type 366 "Mineral" --- X band, surface search and fire control radar, intended for anti-shipping.
Type 344 "Rice Hat" --- X band, gunnery fire control radar.
Type 347G "Rice Bowl" --- K band, CIWS gunnery fire control radar.
All these are placed into a network and there is a central computer managing all of them. So if the search radar finds something, it would pass the coordinates to the fire control radar which would do the fine tracking, and the search radar will continue searching for new threats. With all these radars, the ship is multitasking and managing across a vast swarm of targets. If one breaks the others will still function providing redundancy.
For a Type 054A, the layout is like this:
Type 382 "Sea Eagle" --- S-band main search radar.
Type 364 "Sea Gull" --- C-band surface search radar.
Type 345? "Front Dome" --- X-band target tracker and missile target illuminator.
Type 366 "Mineral" --- X-band fire control radar for antishipping.
Type 347G "Rice Bowl" -- K band radar for CIWS and 76mm gun.
Both ships of course, have non combat navigation radars which are set to X-band. High frequency is used for navigation radars so you can discern tiny boats on the surface. In addition they might have a weather radar and a helicopter approach radar set on the hanger. The Type 055 certainly has one.
The 054A differs from the 052C and 052D is that it uses the 347G instead of the 344 for its gunnery. But this version is one that stands alone, while other copies are placed on top of the CIWS body mount. Likewise, the 056 series frigates also use the 347G for its gunnery control. The use of a CIWS radar guarantees the 76mm gun is also used for anti-air. Ironically the original 054 uses the larger 344 radar which has better range and is more suited for the 100mm main gun it uses. Other ships that use the 90mm or 100mm gun also use the 344, but everything that uses the 76mm gun to below, uses the 347G.
For the 054A, how it works, is that whatever threat is picked up by the 382 and 364 is handed to the defenses, starting with the Front Domes which will track the target for firing with the HQ-16, and then illuminate it for missile guidance. It also passes to the 347G when the target is in engagement range of the guns.
Other ships from different navies have variations of the same theme. For example, the antiship targeting function for antiship missiles, the gunnery function for ships and air, and the missile target illumination, are consolidated into a single radar like the Thales STIR, which has its numerous licensed derivants. It saves a lot of cost and weight, but it does limit your multitasking and multi-target ability and battle redundancy. In other ships, a dedicated surface search radar is omitted, with this function integrated into the main search radar. So that only leaves you with two radars, a main search radar and a main fire control radar. In small ships we can reduce this further since we don't have the luxury of space. In such things like the Tarantul corvettes, you have one Mineral radar that acts as both the search radar, surface search, and antiship radar, plus a smaller radar, like MR321 Bass Tilt to handle the AA tasks. In other ships, EO devices replace the gunnery fire control radar, although in the case of both 054A and 052C/D, EO is still added to augment the gunnery fire control radar.